Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 12, 2023

Solve the inequality $2x + 1 < 5$ .

STEP 1

Assumptions
1. We are given the inequality $2x + 1 < 5$ .
2. We need to solve for the variable $x$ .

STEP 2

The goal is to isolate the variable $x$ on one side of the inequality. To do this, we will perform operations that maintain the inequality.

STEP 3

First, we will subtract 1 from both sides of the inequality to move the constant term to the right side.
$2x + 1 - 1 < 5 - 1$

STEP 4

Simplify both sides of the inequality after subtraction.
$2x < 4$

STEP 5

Now, we will divide both sides of the inequality by 2 to solve for $x$ .
$\frac{2x}{2} < \frac{4}{2}$

STEP 6

Simplify both sides of the inequality after division.
$x < 2$
The solution to the inequality $2x + 1 < 5$ is $x < 2$ .

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