Question

one step inequalities - addition/subtraction - 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:
x + 4 < -3
graph:
1 write problem numbers here.
if you found:
solve:
4 ≥ x + 7
graph:
6
if you found:
solve:
3 + x > 2
graph:
if you found:
solve:
x - 3 ≥ 3
graph:
if you found:
solve:
6 ≥ 7 + x
graph:
if you found:
solve:
x + 8 ≥ 5
graph:

Explanation:

Step1: Solve \(x - 3\geq3\)

Add \(3\) to both sides of the inequality.
\(x-3 + 3\geq3 + 3\)
\(x\geq6\)

Step2: Graph \(x\geq6\)

On the number line, put a closed - circle at \(6\) (because the inequality includes equality, \(\geq\)) and draw an arrow to the right.

Step3: Solve \(6\geq7 + x\)

Subtract \(7\) from both sides.
\(6-7\geq7 + x-7\)
\(- 1\geq x\) or \(x\leq - 1\)

Step4: Graph \(x\leq - 1\)

On the number line, put a closed - circle at \(-1\) (because the inequality includes equality, \(\leq\)) and draw an arrow to the left.

Step5: Solve \(x + 8\geq5\)

Subtract \(8\) from both sides.
\(x+8 - 8\geq5 - 8\)
\(x\geq - 3\)

Step6: Graph \(x\geq - 3\)

On the number line, put a closed - circle at \(-3\) (because the inequality includes equality, \(\geq\)) and draw an arrow to the right.

Answer:

For \(x - 3\geq3\): \(x\geq6\), graph with closed - circle at \(6\) and arrow to the right.
For \(6\geq7 + x\): \(x\leq - 1\), graph with closed - circle at \(-1\) and arrow to the left.
For \(x + 8\geq5\): \(x\geq - 3\), graph with closed - circle at \(-3\) and arrow to the right.