Question
Solve the inequality
p<−12
Alternative Form
p∈(−∞,−12)
Evaluate
3p+5<4p+4
Multiply both sides of the inequality by 12
(3p+5)×12<(4p+4)×12
Multiply the terms
More Steps

Multiply the terms
(3p+5)×12
Apply the distributive property
3p×12+5×12
Reduce the fraction
p×4+5×12
Multiply the terms
4p+60
4p+60<(4p+4)×12
Multiply the terms
More Steps

Multiply the terms
(4p+4)×12
Apply the distributive property
4p×12+4×12
Reduce the fraction
p×3+4×12
Multiply the terms
3p+48
4p+60<3p+48
Move the expression to the left side
4p+60−3p<48
Move the expression to the right side
4p−3p<48−60
Add and subtract
More Steps

Evaluate
4p−3p
Collect like terms by calculating the sum or difference of their coefficients
(4−3)p
Subtract the numbers
p
p<48−60
Solution
p<−12
Alternative Form
p∈(−∞,−12)
Show Solution
