Question

Solve the following inequality algebraically.
`|x - 1| \leqslant 13`

Answer 1

lx-1 l ≤ 13

There are 2 solutions:

x-1 ≤ 13

and

x-1 ≥ -13

Solve each one

x-1 ≤ 13

add 1 to both sides of the equation

x-1+1≤ 13+1

x ≤ 14

x-1 ≥ -13

Add 1 to both sides:

x-1+1 ≥-13+1

x ≥ -12

-12 ≤ x ≤ 14