Solve: | 4 x − 8 | ≤ 7 Give your answer as an interval

Answer 1

Nico

This means on the number line that the distance of 4x from 8 must be less than 7 units.

That means 4x >= 8 - 7 and 4x <= 8 + 7

So 1 <= 4x <= 15

So 0.25 <= x <= 3.75

So x is in the interval [ 0.25, 3.75 ], interval is closed because we have equality

MIKE