Question

How do you solve `2x - 8 < 7`?

Answer 1

`2x - 8 < 7`

Adding 8 to both sides will give us:

`2x - cancel(8) + cancel(8) < 7 + 8`

`2x < 15`

Dividing both sides by 2 will give us:

`(cancel(2)x)/cancel(2) < 15/2`

`x < 15/2`

`color(green)(x<7.5`

To verify your answer , choose an appropriate value of `x` and see if the inequality is satisfied

• Say `x = 2` (A random number less than 7.5)

Left hand side = `2*2 - 8 = 4 - 8 = -4` (`<7`)