Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 22, 2023

Solve for $x$ in the inequality $4(x+1) \leq 4x+3$ . The solution set is $x \leq 1$ or $x \leq 7$ .

STEP 1

Assumptions1. We are given the inequality $4(x+1) \leq4x+3$ . . We are solving for $x$ .

STEP 2

First, we distribute the4 on the left side of the inequality.
$4(x+1) =4x +4$

STEP 3

Now, we substitute this into our inequality.
x + \leqx +3

STEP 4

Next, we subtract $4x$ from both sides of the inequality.
$4 \leq3$

STEP 5

This inequality is not true, so there are no solutions to the original inequality.
Therefore, the solution to the inequality $4(x+1) \leq4x+3$ is no solution.

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