Lesson 5: Practice Problems

Problem 1

Consider the inequality $- 1 \leq \frac{x}{2}$ .
- Predict which values of $x$ will make the inequality true.
- Complete the table to check your prediction.
$x$
$- 4$
$- 3$
$- 2$
$- 1$
$0$
$1$
$2$
$3$
$4$
$\frac{x}{2}$
Consider the inequality $1 \leq \frac{- x}{2}$ .
- Predict which values of $x$ will make it true.
- Complete the table to check your prediction.
$x$
$- 4$
$- 3$
$- 2$
$- 1$
$0$
$1$
$2$
$3$
$4$
$\frac{- x}{2}$

$x$	$- 4$	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$	$4$
$\frac{x}{2}$

$x$	$- 4$	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$	$4$
$\frac{- x}{2}$

Problem 2

Diego is solving the inequality $100 - 3 x \geq - 50$ . He solves the equation $100 - 3 x = - 50$ and gets $x = 50$ . What is the solution to the inequality?

$x < 50$
$x \leq 50$
$x > 50$
$x \geq 50$

Problem 3

Solve the inequality $- 5 (x - 1) > - 40$ , and graph the solution on a number line.

Problem 4

Select all values of $x$ that make the inequality $- x + 6 \geq 10$ true.

-3.9
4
-4.01
-4
4.01
3.9
0
-7

Problem 5

Draw the solution set for each of the following inequalities.

$x > 7$
$x \geq - 4.2$