Inequalities

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

x ≤ -5

Front

What is the solution to the inequality s + 9 ≥ -25?

Back

s ≥ -34

Front

What symbols indicate the use of a closed dot when graphing an inequality?

Back

≤, ≥

Front

What is the solution to the inequality 6 - 2h > 30?

Back

h < -12

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

x ≥ -10

Front

What does it mean when an inequality is represented with a closed dot on a number line?

Back

It indicates that the endpoint is included in the solution set.

Front

What does it mean when an inequality is represented with an open dot on a number line?

Back

It indicates that the endpoint is not included in the solution set.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

What is the graphical representation of the inequality x > 2?

Back

A number line with an open dot at 2 and a line extending to the right.

Front

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

Back

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