Question

what is the first step in solving the inequality (2x + 3 ge 17)?

• subtract 3 from both sides.
• change the direction of the inequality.
• change the inequality to (>).
• divide the left side by 2.

Explanation:

Identify the given inequality

Using the Solving Linear Inequalities knowledge point

$$ 2x + 3 \ge 17 $$

Determine the first step to isolate the variable term

Using the Inequality Properties knowledge point

$$
LATEXBLOCK0
$$

Subtracting 3 from both sides isolates the variable term \(2x\).

Answer:

• (A) Subtract 3 from both sides. (Correct answer)
• (B) Change the direction of the inequality.
• (C) Change the inequality to \(>\).
• (D) Divide the left side by 2.