Solve for x.

StartAbsoluteValue 3 x minus 7 EndAbsoluteValue greater than or equals 5
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.)

1 answer

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
Similar Questions
  1. Solve and graph the inequality.StartAbsoluteValue x plus 8 EndAbsoluteValue greater than or equals 2 Question content area
    1. answers icon 1 answer
  2. Solve for x.StartAbsoluteValue 4 x minus 6 EndAbsoluteValue greater than or equals 7 Question content area bottom Part 1 xless
    1. answers icon 1 answer
  3. Simplify.StartAbsoluteValue 19 EndAbsoluteValue Question content area bottom Part 1 StartAbsoluteValue 19 EndAbsoluteValue
    1. answers icon 1 answer
  4. Evaluate the expression using the given values.StartAbsoluteValue 6 x squared minus 3 y EndAbsoluteValue ​; xequals 5​,
    1. answers icon 1 answer
more similar questions