Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 03, 2023

Find the solution to the inequality $3x < 3x + 5$ .

STEP 1

Assumptions1. The given inequality is $3x <3x +5$ .

STEP 2

Our goal is to isolate $x$ on one side of the inequality. We can start by subtracting $x$ from both sides of the inequality.
$x -x <x +5 -x$

STEP 3

implify the inequality.
$0 <5$

STEP 4

This inequality is always true, as zero is always less than five. However, we notice that the variable $x$ has disappeared. This means that the original inequality $3x <3x +$ is true for all real values of $x$ .
The solution to the inequality is all real numbers.

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