Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
q>24623
Alternative Form
q∈(24623,+∞)
Evaluate
7q−3>31q−4
Multiply both sides of the inequality by 217
(7q−3)×217>31q−4×217
Multiply the terms
More Steps
Multiply the terms
(7q−3)×217
Apply the distributive property
7q×217−3×217
Reduce the fraction
q×31−3×217
Multiply the terms
31q−651
31q−651>31q−4×217
Multiply the terms
More Steps
Multiply the terms
31q−4×217
Reduce the fraction
(q−4)×7
Multiply the terms
7q−28
31q−651>7q−28
Move the expression to the left side
31q−651−7q>−28
Move the expression to the right side
31q−7q>−28+651
Add and subtract
More Steps
Evaluate
31q−7q
Collect like terms by calculating the sum or difference of their coefficients
(31−7)q
Subtract the numbers
24q
24q>−28+651
Add and subtract
24q>623
Divide both sides
2424q>24623
Solution
q>24623
Alternative Form
q∈(24623,+∞)
Show Solution
