This post presents a step-by-step visual solution for solving a compound inequality and graphing the answer on a number line. Perfect for students in Algebra 1, College Algebra, or those preparing for standardized tests.

The image walks through how to solve the inequality:
–1 < 2x + 5 ≤ 3
by isolating the middle expression and then dividing all sides by 2. The final solution:
–3 < x ≤ –1
is then written in interval notation as (–3, –1] and graphed correctly with an open and closed dot.

Key concepts covered:

• Solving compound inequalities

• Proper use of inequality symbols

• Converting inequality solutions to interval notation

• Understanding open vs. closed intervals on a graph

• Avoiding misuse of → and ⇒ in math proofs and solutions

This image is from Chapter 1 of the Ultimate Crash Course for STEM Majors—a comprehensive math guide built to support your success in every STEM subject.

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