Question

approaching
solve each of the inequality for the variable below and graph your answer:

1. -7x - 9 ≥ -51

1. 2 - \\(\frac{a}{4}\\) ≥ 5

1. -2 + 4x ≥ -30

1. -19 > -12 + \\(\frac{a}{4}\\)

solve each of the inequality for the variable below and graph your answer:
8 + 6x < 62

-8 - \\(\frac{a}{2}\\) > -6

1 > 7 - 2x

-16 ≤ -\\(\frac{a}{7}\\) - 8

Explanation:

Step1: Solve \( -2 + 4x \geq -30 \)

Add 2 to both sides: \( 4x \geq -30 + 2 \) → \( 4x \geq -28 \)
Divide by 4: \( x \geq \frac{-28}{4} \) → \( x \geq -7 \)

Step2: Graph the solution

On a number line, draw a closed circle at -7 (since \( \geq \)) and shade to the right.

Answer:

The solution to \( -2 + 4x \geq -30 \) is \( x \geq -7 \). The graph has a closed circle at -7 and shading to the right.