Question

Solve for x 3x - 5 < 7

Answer 1

x < 4

Explanation:

`3x-5<7\qquad\text{add 5 to both sides}\\\\3x-5+5<7+5\\\\3x<12\qquad\text{divide both sides by 3}\\\\(3x)/(3)<(12)/(3)\\\\x<4\to x\in(-\infty,\ 4)`

Answer 2

`x< 4` or
`(-\infty,\ 4)`

Explanation:

We have the following inequality

`3x - 5 < 7`

We must solve for the variable x

To solve the inequality, add 5 on both sides of the inequality

`3x - 5 +5 < 7+5`

Now simplify

`3x< 12`

now divide by 3 on both sides of the inequality

`(3)/(3)x< (12)/(3)`

`x< 4`

The solution is the set of all real numbers that belong to the interval

`(-\infty,\ 4)`