Lesson 7 Inequalities_1/25

Lesson 7

Solving Inequalities

Ms. Heaviland

Open Ended

How are equations and inequalities different?

Inequality Keywords

• at least - means greater than or equal to ≥

• no more than (at most) - means less than or equal to ≤

• more than - means greater than >

• fewer than - means less than  <

Inequality or Desigualdad & Expression or Expresión

An inequality is a statement that one expression is less than (or equal to) or greater than (or equal to) another expression.

Examples: I have less shoes than socks.

Shoes < Socks

I am thinking of a number that's no more than 100:

X ≤ 100

Solving for the unknown in inequalities

• If you are adding or subtracting keep the inequality symbol the same

• If you are multiplying or dividing by a positive number keep the inequality symbol the same

• If you multiply or divide by a negative number reverse the inequality. (flip it)

Open Ended

Solve for the unknown (T) variable.

Does the inequality stay the same?

How do you know?

Open Ended

Solve for the unknown (z) variable.

Does the inequality stay the same?

How do you know?

Fill in the Blanks

-3 < 5

Add 2 to both sides. Write the new inequality.

Does the inequality stay the same? How do you know?

Fill in the Blanks

-3 < 4

Multiply by -1 on both sides. Write the new inequality.

Does the sign stay the same? How do you know?

Fill in the Blanks

-2 > -4

Multiply by 0.5 on both sides. Write the new inequality.

Did the inequality change? How do you know?

Fill in the Blanks

3 > -2

Multiply both sides by -2. Write the new inequality.

Does the sign change? How do you know?