Solving Inequalities in Algebra

To find the value of x

To get x by itself on one side

To add 3 to both sides

To multiply both sides by -3

Subtracting 3 from both sides

Adding 3 to both sides

Dividing both sides by -3

Multiplying both sides by 3

Leave it unchanged

Add a negative sign to it

Switch it to the opposite direction

Multiply it by -1

x < -4

x ≤ -4

x > -4

x = -4

An open dot at -4 with an arrow to the left

An open dot at -4 with an arrow to the right

A closed dot at -4 with an arrow to the left

A closed dot at -4 with an arrow to the right

Because x is equal to -4

Because x is less than -4

Because x is not a real number

Because x is greater than -4 but not equal to -4

{x | x ≤ -4}

{x | x = -4}

{x | x < -4}

{x | x > -4}

To visually represent the solution

To solve the inequality

To find the exact value of x

To check the solution

All numbers equal to -4

Only the number -4

All numbers less than -4

All numbers greater than -4

The inequality sign switches back

The inequality becomes an equation

You get a true statement

You get a false statement