Solve Linear Inequality 14 - 3x < -1

Published on April 17, 2026

Algebra

Learn how to solve the linear inequality 14 - 3x < -1 by isolating the variable x and reversing the inequality sign when dividing by a negative number. The solution is x > 5.

Question

Answer

The problem asks to find the solution set of the inequality

To solve this inequality, we need to isolate the variable

.
First, subtract 14 from both sides of the inequality:

Next, divide both sides of the inequality by -3. When dividing or multiplying both sides of an inequality by a negative number, we must reverse the direction of the inequality sign.

The solution set is all values of

that are greater than 5. In interval notation, this is

The final answer is

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