Solve: −9 < 2x − 5 < 9 → −4 < 2x < 14 → −2 < x < 7.

Sat, 02 May 2026 17:16:58 +0000

Solving the Inequality −9 < 2x − 5 < 9: A Step-by-Step Guide Learning how to solve inequalities step-by-step is essential for mastering algebra and building problem-solving skills. One common inequality students encounter is: $$ -9 < 2x - 5 < 9 $$ This compound inequality can seem tricky at first, but breaking it down into smaller, manageable parts makes it easy to solve. In this article, we’ll walk through solving this inequality, explaining each step clearly and showing how to arrive at the final solution: $$ -2 < x < 7 $$