Question

1. solve the inequality and graph the solution:

\\-2 \le -\frac{x}{4}\\

a.
b.
c.
d.

Explanation:

⚡ Using what you learned: solving two-step and multi-step inequalities

Step 1: Isolate the variable

Multiply both sides of the inequality by \(-4\). Remember that multiplying or dividing an inequality by a negative number reverses the inequality sign.

$$ -2 \le -\frac{x}{4} $$

$$ -2 \cdot (-4) \ge x $$

$$ 8 \ge x \implies x \le 8 $$

Step 2: Identify the graph

The inequality \(x \le 8\) represents all real numbers less than or equal to \(8\). On a number line, this is represented by:

• A solid circle at \(8\) (because of the "or equal to" \(\le\) sign).
• An arrow pointing to the left (representing values less than \(8\)).

This matches option d.

Answer:

d