Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x>227
Alternative Form
x∈(227,+∞)
Evaluate
63−4x−82x−3>2−x
Multiply both sides of the inequality by 2×3×4
(63−4x−82x−3)×2×3×4>(2−x)×2×3×4
Multiply the terms
More Steps
Multiply the terms
(63−4x−82x−3)×2×3×4
Apply the distributive property
63−4x×2×3×4−82x−3×2×3×4
Reduce the fraction
(3−4x)×4+(−2x+3)×3
Multiply the terms
12−16x−6x+9
12−16x−6x+9>(2−x)×2×3×4
Multiply the terms
More Steps
Multiply the terms
(2−x)×2×3×4
Apply the distributive property
2×2×3×4−x×2×3×4
Reduce the fraction
2×24−x×24
Multiply the terms
48−24x
12−16x−6x+9>48−24x
Calculate the sum or difference
More Steps
Evaluate
12+9−16x−6x
Add the numbers
21−16x−6x
Subtract the terms
More Steps
Evaluate
−16x−6x
Collect like terms by calculating the sum or difference of their coefficients
(−16−6)x
Subtract the numbers
−22x
21−22x
21−22x>48−24x
Move the expression to the left side
21−22x+24x>48
Move the expression to the right side
−22x+24x>48−21
Add and subtract
More Steps
Evaluate
−22x+24x
Collect like terms by calculating the sum or difference of their coefficients
(−22+24)x
Add the numbers
2x
2x>48−21
Add and subtract
2x>27
Divide both sides
22x>227
Solution
x>227
Alternative Form
x∈(227,+∞)
Show Solution
