Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−32<y<3
Alternative Form
y∈(−32,3)
Evaluate
−4<5−3y<7
Separate into two inequalities
{−4<5−3y5−3y<7
Solve the inequality
More Steps
Evaluate
−4<5−3y
Swap the sides of the inequality
5−3y>−4
Move the constant to the right side
−3y>−4−5
Subtract the numbers
−3y>−9
Change the signs on both sides of the inequality and flip the inequality sign
3y<9
Divide both sides
33y<39
Divide the numbers
y<39
Divide the numbers
More Steps
Evaluate
39
Reduce the numbers
13
Calculate
3
y<3
{y<35−3y<7
Solve the inequality
More Steps
Evaluate
5−3y<7
Move the constant to the right side
−3y<7−5
Subtract the numbers
−3y<2
Change the signs on both sides of the inequality and flip the inequality sign
3y>−2
Divide both sides
33y>3−2
Divide the numbers
y>3−2
Use b−a=−ba=−ba to rewrite the fraction
y>−32
{y<3y>−32
Solution
−32<y<3
Alternative Form
y∈(−32,3)
Show Solution
