Solving Inequalities Worksheets - BYJU'S

Solving Inequalities Worksheets

Inequalities in mathematics demonstrate a relationship between two values when these two values are unequal. These values can be numbers or algebraic expressions. When practicing with solving inequalities worksheets, students are presented with an engaging and fun way to learn inequalities and solve problems at their own pace. Solving inequalities worksheets can guide students through graphical representations using real-life examples and relatable situations....Read MoreRead Less

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The Benefits of Solving Inequalities Worksheets:

Analyze boundaries:

For situations where exact equality is not achieved, inequalities can help students assess boundary values of the required result. Even though students do not get the precise result, they can identify upper or lower boundaries.

Flexibility in prediction:

This leaves room for flexibility for scenarios where changes might occur, therefore lowering the possibility of error that may have been generated from the prediction of a fixed outcome.

Real world application: 

Solving inequalities worksheets can show students how these boundaries and predictions can be implemented in our daily lives through mathematical solving of linear inequalities.

Choose Math Worksheets by Topic

Adding and Subtracting Decimal Worksheets Adding and Subtracting Fractions Worksheets Adding and Subtracting Integers Worksheets Addition and Subtraction Worksheets Addition Worksheets Algebra Worksheets Area and Perimeter Worksheets Coins Worksheets Comparing Fractions Worksheets Comparing Numbers Worksheets Convert Fractions to Decimals Worksheets Coordinate Geometry Worksheets Data Data Handling Worksheets Decimals Worksheets Dividing Decimals Worksheets Dividing Fractions Worksheets Division Worksheets Exponents Worksheets Fact Family Worksheets Factoring Worksheets Fractions and Percents Worksheets Fractions Worksheets Geometry Worksheets Graphing Worksheets Integers Worksheets Linear Equations Worksheets Measurement Worksheets Money Worksheets Multiplication Worksheets Multiplying Decimals Worksheets Multiplying Fractions Worksheets Number Worksheets Order of Operations Worksheets Percents Worksheets Place Value Math Worksheets Place Value Worksheets Pre Algebra Worksheets Probability Worksheets Ratio and Proportions Worksheets Rational and Irrational Numbers Worksheets Rounding Worksheets Scientific Notation Worksheets Solving Inequalities Worksheets Subtraction Worksheets Time Worksheets Word Problems Worksheets

Solving inequalities Worksheets Explained:

While solving simple inequalities or linear inequalities in mathematics, there are four possible results for the comparison of the left-hand side (LHS) to the right-hand side (RHS) of an inequality sign:

  1. Less than (<): LHS is always lesser in value than RHS
  2. Less than or equal to (?): LHS is lesser or equal in value to RHS
  3. Greater than (>): LHS is always greater in value than RHS
  4. Greater than or equal to (?): LHS is greater or equal in value to RHS

Students are provided with real-life examples and can learn to solve inequalities through these worksheets.

Example:

Ravi was asked to buy a maximum of 80 chocolates. These chocolates are sold in packets, each of which contains 12 chocolates. Find the number of packets he needs to buy to satisfy the requirement.

Solution:

Assume that Ravi has to buy x number of packets to meet the requirements. Each packet contains 12 chocolates.

Thus we can write the above problem in the form of linear inequality as:

12 * number of packets < 80

Or,

12x < 80

=> 12x/12 < 80/12 (Dividing both sides with 12)

=> x < 20/3

Therefore the number of packets Ravi needs to buy to meet the requirement is 20/3. 

Or, x < 6.66 (as 20/3 is equal to 6.66)

Because the number of packets cannot be in a fraction, we must round it up to 6 packets. 

This is how a scenario can be represented in the form of inequalities.

Inequalities can be solved by either of the following methods:

  • Addition or subtraction of the same number from both sides of the inequality sign without altering the sign
  • Multiplication or division of the same non-zero positive number to both sides of the sign. In the case of multiplication or division with a negative number, the inequality sign will be reversed.

Printable Solving inequalities Worksheets

Solving inequalities worksheets can be downloaded or printed so students can practice with them at their own pace and convenience. The printable worksheets contain varying levels of difficulty,  from simple inequalities to more complex ones, to assist students in understanding this concept.

Frequently Asked Questions

Solving inequalities worksheets are free printable fun and interactive worksheets that contain questions based on inequalities. The worksheets have real-life questions that will help students in connecting inequality with real-life situations.

Inequality is the representation of two algebraic expressions which are not equal. We use “<” or “>” signs to represent inequality. Students can find good practice questions in the solving inequalities worksheets.

The equation is used to represent two algebraic expressions when the are equal but inequality is used to represent two algebraic expressions when the are not equal. For equations we use “=” sign but for inequality we use “<” or “>”.

The methods used in solving inequalities worksheets for solutions are the graphical method, using addition, subtraction, multiplication, and division method, using the two-step method. By using all these methods a stepwise solution is provided for a better understanding of the concept.

Solving inequalities worksheets have different kinds of questions based on inequality that will improve the accuracy level of the student. It will enhance the knowledge of inequalities and their applications of them. We have stepwise solutions for questions that will improve students’ self-assessment skills and solution writing and reinforce their understanding of the concept. Students will get to know how to solve the same kind of question with different methods. Worksheets have images that will improve the visualization of concepts.