Operations on Inequality: Multiplication and Division

Q.

The total number of $3$ digit numbers, whose sum of digits is $10$, is

Q.

Omar has a gift card for $\$25$ at a clothing store. He wants to buy socks that cost $\$4$per pair. He also has a coupon for $\$5$ off his entire purchase. Omar wants to know how many pairs of socks he can buy. Write an inequality that represents the situation.

Q.

Write an expression for the following :

The height of Mount Everest is $26$ times the height of Empire State building.

Q.

What is the Subtraction Property of linear inequalities?

Q.

Write an inequality that compares the given numbers. Does the inequality remain true when you multiply each number in the inequality by $2$? By $-2$? Justify your answers.

$-2;5$

Q. Out of 40 cupcakes, Sally sold at least 25 cupcakes. If $s$ is the number of cupcakes sold, then .

1. $20<s<40$
2. $25\le s\le 40$
3. $23<s<40$

Q.

Subtracting the same number to each side of an inequality does not changes the direction of the inequality symbol.

1. True
2. False

Q.

Write the word sentence as an inequality.

A number$y$ minus $\frac{1}{2}$ is no more than $\frac{-3}{2}$

Q. A compound inequality combines two simple inequalities.

1. True
2. False

Q. Match the following inequalities with their solutions.

1. $x\le 2$
2. $x\le -1$
3. $x<-2$
4. $x>5$

Q. Solve the inequality:
$\frac{5x}{3}+6>16$

1. $x>3$
2. $x>10$
3. $x<4$
4. $x>6$

Q. Which of the following is the simplified form of $\frac{-4x}{10}\ge \frac{32}{5}$?

1. $x\le 16$
2. $x\le -16$
3. $x\ge 16$
4. $x\ge -16$

Q. Choose the correct pair of inequalities.

1. Greater than
2. $\ge$
3. Less than
4. $>$
5. At least
6. $<$
7. $\le$
8. No more than

Q. Which of the following statements, will not change the direction of an inequality?

1. A positive number is multiplied to both sides of an inequality
2. A negative number is multiplied to both sides of an inequality
3. A positive number is divided from both sides of an inequality
4. A negative number is divided from both sides of an inequality

Q. The solution of the inequality $\frac{1-x}{2}<4$ is:

1. $x<-7$
2. $x>-7$
3. $x>7$
4. $x<7$

Q. The inequality $\frac{y}{3}>4$can be simplified into which one of the following?

1. $y\ge 12$
2. $y\le 12$
3. $y>12$
4. $y<12$

Q. Find the maximum value of $x,$ if $\frac{2x}{3}+7\le 17$

Q. Choose the pair meaning the same inequality.

1. More than
2. Fewer than
3. Not less than
4. No more than
5. Higher than
6. Lower than
7. At least
8. At most