Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x∈(−∞,−2)∪(7,+∞)
Evaluate
∣2x−5∣>9
Separate the inequality into 2 possible cases
2x−5>92x−5<−9
Solve the inequality for x
More Steps
Evaluate
2x−5>9
Move the constant to the right side
2x>9+5
Add the numbers
2x>14
Divide both sides
22x>214
Divide the numbers
x>214
Divide the numbers
More Steps
Evaluate
214
Reduce the numbers
17
Calculate
7
x>7
x>72x−5<−9
Solve the inequality for x
More Steps
Evaluate
2x−5<−9
Move the constant to the right side
2x<−9+5
Add the numbers
2x<−4
Divide both sides
22x<2−4
Divide the numbers
x<2−4
Divide the numbers
More Steps
Evaluate
2−4
Reduce the numbers
1−2
Calculate
−2
x<−2
x>7x<−2
Solution
x∈(−∞,−2)∪(7,+∞)
Show Solution
