SAT Linear inequalities in one or two variables Practice Question 9 (Medium)

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Question bank / Linear inequalities in one or two variables

Math · AlgebraMedium

Which of the following is the solution to the inequality $4 - 3x \le 2x - 11$ ?

$x \le -3$

$x \ge -3$

$x \le 3$

$x \ge 3$

Show answer and explanation

Answer: D

Add $3x$ to both sides: $4 \le 5x - 11$ . Add 11: $15 \le 5x$ . Divide by 5: $3 \le x$ , which is $x \ge 3$ .

Choice C flips the inequality unnecessarily; we divided by a positive number, so the direction stays the same.

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