Solve for x.
StartAbsoluteValue 3 x minus 7 EndAbsoluteValue greater than or equals 5
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Part 1
xless than or equals
enter your response here
or xgreater than or equals
enter your response here
(Type integers or simplified fractions.)
To solve the inequality, we can write it as two separate inequalities:
1) 3x - 7 ≥ 5
2) 3x - 7 ≤ -5
Solving the first inequality:
Adding 7 to both sides:
3x ≥ 12
Dividing both sides by 3:
x ≥ 4
Solving the second inequality:
Adding 7 to both sides:
3x ≤ 2
Dividing both sides by 3:
x ≤ 2/3
Therefore, the solution is:
x ≥ 4 or x ≤ 2/3