Question

question solve the inequality and graph the solution on the line provided.
-11 + 4x > -39
answer attempt 1 out of 2
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line
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Explanation:

Step1: Add 11 to both sides

To isolate the term with \( x \), we add 11 to both sides of the inequality \(-11 + 4x > -39\). This gives us \( -11 + 11 + 4x > -39 + 11 \), which simplifies to \( 4x > -28 \).

Step2: Divide both sides by 4

Next, we divide both sides of the inequality \( 4x > -28 \) by 4 to solve for \( x \). So, \( \frac{4x}{4} > \frac{-28}{4} \), which simplifies to \( x > -7 \).

Answer:

Inequality Notation: \( x > -7 \)

For the number line: We would draw an open circle at \(-7\) (since the inequality is \( > \), not \( \geq \)) and shade the line to the right of \(-7\) to represent all values of \( x \) greater than \(-7\).