Solve for x.
StartAbsoluteValue 4 x minus 6 EndAbsoluteValue greater than or equals 7
Question content area bottom
Part 1
xless than or equals
enter your response here
or xgreater than or equals
enter your response here
(Type integers or simplified fractions.)
We start by adding 6 to both sides of the inequality:
|4x - 6| ≥ 7
4x - 6 ≥ 7 or 4x - 6 ≤ -7
Solving the first inequality:
4x - 6 ≥ 7
4x ≥ 7 + 6
4x ≥ 13
x ≥ 13/4
Solving the second inequality:
4x - 6 ≤ -7
4x ≤ -7 + 6
4x ≤ -1
x ≤ -1/4
Therefore, the solution is x ≥ 13/4 or x ≤ -1/4.