Question

Solve the inequality 4x - 7<5

Answer 1

x<3

Explanation:

4x-7<5

Step 1 add 7 to both sides

4x-7+7 < 5+7

4x < 12

Step 2 Divide both sides by 4

x < 3

Answer 2

The answer is:

x < 3

Work/explanation:

If you recall the process of solving an equation, then you should be able to solve an inequality, too! The process is almost the same; the only difference is that instead of an equal sign, we have less/greater than (or equal to).

I will begin solving by adding 7 on each side:

`\mapsto\phantom{333}\sf{4x-7 < 5}`

`\mapsto\phantom{333}\sf{4x < 5+7}`

`\mapsto\phantom{333}\sf{4x < 12}`

Divide each side by 4

`\mapsto\phantom{333}\sf{x < 3}`

Hence, x < 3.