SAT Linear inequalities in one or two variables Practice Question 10 (Medium)

Question bank / Linear inequalities in one or two variables

Math · AlgebraMedium

How many integer values of $x$ satisfy the inequality $-3 < 2x + 5 \le 11$ ?

Student-produced response: enter your answer.

Show answer and explanation

Answer: 7

Subtract 5 from all three parts: $-8 < 2x \le 6$ . Divide by 2: $-4 < x \le 3$ . The integers are $-3, -2, -1, 0, 1, 2, 3$ , which is 7 values.

Including $-4$ gives 8, but $-4$ is excluded because the left inequality is strict.

Ask Owl about this question Next question

Got it wrong? On SAT Owl, Owl looks at the answer you chose and explains the exact mistake, then gives you similar questions until it sticks. Get your predicted SAT score free.