Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x∈(−∞,−23]∪[3,+∞)
Evaluate
∣3−4x∣≥9
Separate the inequality into 2 possible cases
3−4x≥93−4x≤−9
Solve the inequality for x
More Steps
Evaluate
3−4x≥9
Move the constant to the right side
−4x≥9−3
Subtract the numbers
−4x≥6
Change the signs on both sides of the inequality and flip the inequality sign
4x≤−6
Divide both sides
44x≤4−6
Divide the numbers
x≤4−6
Divide the numbers
More Steps
Evaluate
4−6
Cancel out the common factor 2
2−3
Use b−a=−ba=−ba to rewrite the fraction
−23
x≤−23
x≤−233−4x≤−9
Solve the inequality for x
More Steps
Evaluate
3−4x≤−9
Move the constant to the right side
−4x≤−9−3
Subtract the numbers
−4x≤−12
Change the signs on both sides of the inequality and flip the inequality sign
4x≥12
Divide both sides
44x≥412
Divide the numbers
x≥412
Divide the numbers
More Steps
Evaluate
412
Reduce the numbers
13
Calculate
3
x≥3
x≤−23x≥3
Solution
x∈(−∞,−23]∪[3,+∞)
Show Solution
