Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x<24
Alternative Form
x∈(−∞,24)
Evaluate
−2−4x<−(1×3x)
Calculate
−2−4x<−3x
Multiply both sides of the inequality by 12
(−2−4x)×12<−3x×12
Multiply the terms
More Steps
Multiply the terms
(−2−4x)×12
Apply the distributive property
−2×12−4x×12
Reduce the fraction
−2×12−x×3
Multiply the terms
−24−3x
−24−3x<−3x×12
Multiply the terms
More Steps
Multiply the terms
−3x×12
Reduce the fraction
−x×4
Multiply the terms
−4x
−24−3x<−4x
Move the variable to the left side
−24−3x+4x<0
Add the terms
More Steps
Evaluate
−3x+4x
Collect like terms by calculating the sum or difference of their coefficients
(−3+4)x
Add the numbers
x
−24+x<0
Move the constant to the right side
x<0+24
Solution
x<24
Alternative Form
x∈(−∞,24)
Show Solution
