SAT Linear inequalities in one or two variables Practice Question 4 (Easy)

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Question bank / Linear inequalities in one or two variables

Math · AlgebraEasy

Which of the following is the solution to the inequality $-2x + 7 \ge 15$ ?

$x \ge -4$

$x \le -4$

$x \ge 4$

$x \le 4$

Show answer and explanation

Answer: B

Subtract 7 from both sides: $-2x \ge 8$ . Dividing by a negative number reverses the inequality: $x \le -4$ .

Choice A forgets to reverse the inequality sign after dividing by $-2$ .

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