Question

one step inequalities - multiplication/division - scavenger hunt worksheet
solve and graph #1. then find the matching graph which is the next problem.
continue until you complete the worksheet. label number lines and show all work.
name:
start (show all work)
solve: $-2x < 8$
graph:
if you found:
solve: $-5 \leq \frac{x}{2}$
graph:
if you found:
solve: $\frac{x}{-2} \leq -3$
graph:
if you found:
solve: $-1 > \frac{x}{-2}$
graph:
if you found:
solve: $-4x > 16$
graph:
if you found:
solve: $\frac{x}{-3} \geq 0$
graph:
if you found:
solve: $\frac{x}{8} < -1$
graph:
if you found:
solve: $2 < \frac{x}{-5}$
graph:
if you found:
solve: $-12 \leq 2x$
graph:
if you found:
solve: $-4x > -8$
graph:
if you found:
solve: $\frac{x}{-8} < 1$
graph:
if you found:
solve: $16 \leq -2x$
graph:

Explanation:

Step1: Solve the inequality \(-2x < 8\)

Divide both sides by \(-2\). When dividing an inequality by a negative number, the inequality sign flips. So, \(x>-4\).

Step2: Graph the solution \(x > - 4\)

On the number line, draw an open circle at \(-4\) (because \(x\) is not equal to \(-4\)) and shade to the right.

Answer:

The solution is \(x > - 4\) and its graph has an open circle at \(-4\) with shading to the right.