Question

question solve the inequality and graph the solution on the line provided.
-7 + 4x ≤ 1
answer attempt 1 out of 2
inequality notation:
number line:
(number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12)
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Explanation:

Step1: Add 7 to both sides

To isolate the term with \( x \), we add 7 to both sides of the inequality \(-7 + 4x \leq 1\). This gives us \(-7 + 7 + 4x \leq 1 + 7\), which simplifies to \(4x \leq 8\).

Step2: Divide by 4

Next, we divide both sides of the inequality \(4x \leq 8\) by 4 to solve for \( x \). So, \(\frac{4x}{4} \leq \frac{8}{4}\), which simplifies to \(x \leq 2\).

Answer:

Inequality Notation: \( x \leq 2 \)
For the number line: Place a closed circle at 2 (since the inequality is "less than or equal to") and draw a line to the left of 2 to represent all values of \( x \) that satisfy the inequality.