Solving Inequalities using the Operations of Addition and Subtraction

Q.

Use the sign of $>,<or=$ in the box to make the statements true: $23-41+11[]23-41-11$

Q.

Write the word sentence as an inequality.

A number $w$ is greater than $-3$.

Q. Numbers on each side of the magic triangle add up to 9. What are the missing numbers?

1. 4, 3
2. 2, 5
3. 2, 3
4. 1, 4

Q.

Write the word sentence as an inequality.

A number $p$is greater than $5$.

Q. Match the following inequalities with their simplest forms.

1. $x\le -5$
2. $x\ge -9$
3. $x\ge -7$
4. $x>-2$

Q. Match the following mathematical operations with their inverse operations.

1. $+$
2. $-$
3. $\times$
4. $÷$

Q.

Simplify $35+(-12)$

Q. The inequality holds true when a number or an unknown is added to or subtracted from both sides.

1. True
2. False

Q. Solution of the inequality $x+5>15,$ is:

1. $x<10$
2. $x=10$
3. $x>15$
4. $x>10$

Q. If $a\ge b$, then $a+c\ge b+c$ where $a,b\&c$ are integers.

1. False
2. True

Q. $\frac{x}{3}-6=17$ is a two step equation involving Division and Subtraction as the two mathematical operations in it.

1. True
2. False

Q. If $x$ is a solution of the algebraic equation $\frac{x}{7}-5=10$, then $x=$

1. $170$
2. $105$
3. $210$

Q.

Simplify the expressions

$3(a-7)$

Q. $x=2$ is the solution of the algebraic equation $3x+9=18$.

1. True
2. False

Q. If $2x+5\le 3$, then

1. $2x+7\le 5$
2. $2x+3\le 0$
3. $2x+10\le 7$

Q.

Simplify the following subtraction expression.

$7-\left(-5\right)$

Q. $5-x<6$ can be simplified as .

1. $x>-1$
2. $x<-1$
3. $x>1$

Q. $x-10\ge 5$ is same as

1. $x-2\ge 13$
2. $x-2\ge -7$
3. $x-2\ge -13$