Solve Linear Inequality 5a + 36 < 7a

Published on March 4, 2026

Algebra

Solve the one-variable linear inequality 5a + 36 < 7a by isolating the variable 'a' to find the solution set a > 18.

Question

Answer

The problem asks us to solve the inequality:

Step 1: Isolate the term with the variable

on one side of the inequality. We can do this by subtracting

from both sides of the inequality.

Step 2: Simplify both sides of the inequality.

Step 3: Solve for

by dividing both sides of the inequality by

. Since

is a positive number, the direction of the inequality sign remains the same.

Step 4: Simplify the result.

This can also be written as:

The solution to the inequality

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