Lesson 5

1. Consider the inequality \(\text-1 \leq \frac{x}{2}\).
   1. Predict which values of \(x\) will make the inequality true.
   2. Complete the table to check your prediction.

      \(x\)	-4	-3	-2	-1	0	1	2	3	4
      \(\frac{x}{2}\)

2. Consider the inequality \(1 \leq \frac {\text{-}x}{2}\).
   1. Predict which values of \(x\) will make it true.
   2. Complete the table to check your prediction.

      \(x\)	-4	-3	-2	-1	0	1	2	3	4
      \(\text-\frac{x}{2}\)

Diego is solving the inequality \(100-3x \ge \text-50\). He solves the equation \(100-3x = \text-50\) and gets \(x=50\). What is the solution to the inequality?

\(x < 50\)

\(x \le 50\)

\(x > 50\)

\(x \ge 50\)

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

Select all values of \(x\) that make the inequality \(\text-x+6\ge10\) true.

-3.9

4

-4.01

-4

4.01

3.9

0

-7

Draw the solution set for each of the following inequalities.

1. \(x>7\)

   

   

2. \(x\geq\text-4.2\)