Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
45<x≤431
Alternative Form
x∈(45,431]
Evaluate
−20≤11−4x<6
Separate into two inequalities
{−20≤11−4x11−4x<6
Solve the inequality
More Steps
Evaluate
−20≤11−4x
Swap the sides of the inequality
11−4x≥−20
Move the constant to the right side
−4x≥−20−11
Subtract the numbers
−4x≥−31
Change the signs on both sides of the inequality and flip the inequality sign
4x≤31
Divide both sides
44x≤431
Divide the numbers
x≤431
{x≤43111−4x<6
Solve the inequality
More Steps
Evaluate
11−4x<6
Move the constant to the right side
−4x<6−11
Subtract the numbers
−4x<−5
Change the signs on both sides of the inequality and flip the inequality sign
4x>5
Divide both sides
44x>45
Divide the numbers
x>45
{x≤431x>45
Solution
45<x≤431
Alternative Form
x∈(45,431]
Show Solution
