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: kamarcus harris
start (show all work)
solve: ( x + 4 lt -3 )
graph:
solve: ( 4 geq x + 7 )
graph:
solve: ( 3 + x gt 2 )
graph:
solve: ( x - 3 geq 3 )
graph:
solve: ( 6 geq 7 + x )
graph:
solve: ( x + 8 geq 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 a number line, put a closed circle at \(6\) (because the inequality is \(\geq\)) 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 a number line, put a closed circle at \(-1\) (because the inequality is \(\leq\)) 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 a number line, put a closed circle at \(-3\) (because the inequality is \(\geq\)) and draw an arrow to the right.

Answer:

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