Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x∈(−∞,−54]∪[2,+∞)
Evaluate
∣5x−3∣≥7
Separate the inequality into 2 possible cases
5x−3≥75x−3≤−7
Solve the inequality for x
More Steps
Evaluate
5x−3≥7
Move the constant to the right side
5x≥7+3
Add the numbers
5x≥10
Divide both sides
55x≥510
Divide the numbers
x≥510
Divide the numbers
More Steps
Evaluate
510
Reduce the numbers
12
Calculate
2
x≥2
x≥25x−3≤−7
Solve the inequality for x
More Steps
Evaluate
5x−3≤−7
Move the constant to the right side
5x≤−7+3
Add the numbers
5x≤−4
Divide both sides
55x≤5−4
Divide the numbers
x≤5−4
Use b−a=−ba=−ba to rewrite the fraction
x≤−54
x≥2x≤−54
Solution
x∈(−∞,−54]∪[2,+∞)
Show Solution
