Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
Solve for x
Solve for a
x>2a+1∩x<a∪x<2a+1∩x>a
Evaluate
x−ax−2a−1<0
Separate the inequality into 2 possible cases
{x−2a−1>0x−a<0{x−2a−1<0x−a>0
Solve the inequality
More Steps
Evaluate
x−2a−1>0
Move the constant to the right side
x>0+2a+1
Removing 0 doesn't change the value,so remove it from the expression
x>2a+1
{x>2a+1x−a<0{x−2a−1<0x−a>0
Solve the inequality
More Steps
Evaluate
x−a<0
Move the constant to the right side
x<0+a
Removing 0 doesn't change the value,so remove it from the expression
x<a
{x>2a+1x<a{x−2a−1<0x−a>0
Solve the inequality
More Steps
Evaluate
x−2a−1<0
Move the constant to the right side
x<0+2a+1
Removing 0 doesn't change the value,so remove it from the expression
x<2a+1
{x>2a+1x<a{x<2a+1x−a>0
Solve the inequality
More Steps
Evaluate
x−a>0
Move the constant to the right side
x>0+a
Removing 0 doesn't change the value,so remove it from the expression
x>a
{x>2a+1x<a{x<2a+1x>a
Find the intersection
x>2a+1∩x<a{x<2a+1x>a
Find the intersection
x>2a+1∩x<ax<2a+1∩x>a
Solution
x>2a+1∩x<a∪x<2a+1∩x>a
Show Solution
