Solving Inequalities in One Variable

0.1( x - 20 ) > 2

• x > 40

• x < 40

• x > 220

When solving an inequality, what is the main things that are different from solving equations.

• Draw the line

• Use inverse operations to solve.

• Bring down the inequality symbol and FLIP the symbol  when you multiply or divide by a negative.

When solving an inequality, what are the main things that are different from solving equations.

• Draw the line

• Use inverse operations to solve.

• Bring down the inequality symbol and FLIP the symbol  when you multiply or divide by a negative.

Solve for x

• x > 8

• x < 9

• x > 10

• x < 7

Solve the linear inequality.

• x > -2

• x < -2

• x < 2

• x > 2

-12x > 36

• x > -3

• x > 48

• x < -3

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

• 200+25w ≥ 500

• 500-25w ≥ 200

• 500+25w ≤ 200

• 200-25w ≤ 500

10 < 3x + 19

• x < 3

• x > 3

• x < -3

• x > -3