Question

question
solve for x and graph the solution on the number line below.
4x - 4 ≤ 24 or 4x - 4 ≥ 44
answer
attempt 1 out of 2
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Explanation:

Step1: Solve the first inequality \(4x - 4\leq24\)

Add \(4\) to both sides: \(4x-4 + 4\leq24 + 4\), so \(4x\leq28\).
Divide both sides by \(4\): \(x\leq7\).

Step2: Solve the second inequality \(4x - 4\geq44\)

Add \(4\) to both sides: \(4x-4 + 4\geq44 + 4\), so \(4x\geq48\).
Divide both sides by \(4\): \(x\geq12\).

Answer:

The solution of the compound inequality is \(x\leq7\) or \(x\geq12\). On the number - line, we have a closed circle at \(x = 7\) and the line extends to the left (for \(x\leq7\)), and a closed circle at \(x = 12\) and the line extends to the right (for \(x\geq12\)).