Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x∈(−∞,2)∪(5,+∞)
Evaluate
∣2x−7∣>3
Separate the inequality into 2 possible cases
2x−7>32x−7<−3
Solve the inequality for x
More Steps
Evaluate
2x−7>3
Move the constant to the right side
2x>3+7
Add the numbers
2x>10
Divide both sides
22x>210
Divide the numbers
x>210
Divide the numbers
More Steps
Evaluate
210
Reduce the numbers
15
Calculate
5
x>5
x>52x−7<−3
Solve the inequality for x
More Steps
Evaluate
2x−7<−3
Move the constant to the right side
2x<−3+7
Add the numbers
2x<4
Divide both sides
22x<24
Divide the numbers
x<24
Divide the numbers
More Steps
Evaluate
24
Reduce the numbers
12
Calculate
2
x<2
x>5x<2
Solution
x∈(−∞,2)∪(5,+∞)
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