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 3 inequality notation: number line: submit answer

Explanation:

Step1: Solve \(4x - 4 \leq 24\)

Add 4 to both sides: \(4x - 4 + 4 \leq 24 + 4\)
Simplify: \(4x \leq 28\)
Divide both sides by 4: \(\frac{4x}{4} \leq \frac{28}{4}\)
Simplify: \(x \leq 7\)

Step2: Solve \(4x - 4 \geq 44\)

Add 4 to both sides: \(4x - 4 + 4 \geq 44 + 4\)
Simplify: \(4x \geq 48\)
Divide both sides by 4: \(\frac{4x}{4} \geq \frac{48}{4}\)
Simplify: \(x \geq 12\)

Answer:

Inequality Notation: \(x \leq 7\) or \(x \geq 12\)

For the number line:

• Draw a closed circle at 7 and shade to the left (for \(x \leq 7\)).
• Draw a closed circle at 12 and shade to the right (for \(x \geq 12\)).