Solving Linear Inequalities

Front

What symbols are used for a closed dot when graphing an inequality?

Back

≤, ≥

Front

What does the inequality x ≥ 48 represent in a real-world context?

Back

You must be at least 48 inches to ride the roller coaster.

Front

Evaluate the inequality x + 9 > 21 when x = 15. Is it true or false?

Back

True

Front

Write an inequality that shows when Sue's lunch account will be more than Troy's if Sue spends $2.50 daily and starts with $25, while Troy spends $3.25 daily and starts with $50.

Back

25 - 2.5d > 50 - 3.25d

Front

What inequality does the number line graph represent?

Back

-2x + 3 > -7

Front

What is a linear inequality?

Back

An inequality that involves a linear expression, typically in the form ax + b < c, ax + b > c, etc.

Front

How do you solve the inequality 3x - 5 < 7?

Back

Add 5 to both sides: 3x < 12; then divide by 3: x < 4.

Front

What does the solution x > 2 mean in a real-world context?

Back

The value of x must be greater than 2.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary, while non-strict inequalities (≤, ≥) do.

Front

How do you graph the inequality x ≤ 3?

Back

Draw a number line, place a closed dot on 3, and shade to the left.