Solving Inequalities by Multiplication and Division by a Positive Number

Q. Multiplying or dividing a negative number on both the sides of an inequality changes the sign of the inequality.

1. False
2. True

Q.

What value of $\mathrm{x}$ is in the solution set of $2\mathrm{x}–3>11–5\mathrm{x}$?

1. $-3$

2. $0$

3. $2$

4. $4$

Q. $x=21$ satisfies the algebraic equation $3x-4=59$.

1. False
2. True

Q. If $7.5-3.5x\le -3x+10$, then

1. $x\ge -5$
2. $x\le 5$
3. $x\ge 0$

Q. Which of the following option(s) satisfies inequality $\frac{x}{5}\ge -7$?

1. $x=-35$
2. $x=-30$
3. $x=-40$
4. $x=-45$

Q. Match the following algebraic equation with it's solution.

1. $5$
2. $30$
3. $2$
4. $16$

Q. Complete the following statement:
Multiplying each side of an inequality by a positive number

1. changes the direction of the inequality
2. does not change the direction of the inequality

Q. Find the minimum value of $x,$ if $5x+8\ge 3x.$

Q. If $5.3x-4.3\ge 3.4x+7.7$, then .

1. $x\le 6$
2. $x\ge 6$
3. $x\ge -6$