Solving Inequalities

Front

What symbols are used for a closed dot when graphing inequalities?

Back

≤, ≥

Front

How do you solve the inequality -9x + 7 ≥ 25?

Back

x ≤ -2

Front

What is the solution to the inequality 4x + 1 > 13?

Back

x > 3

Front

If a parking garage charges $4.50 per hour and you have $18, how many hours can you park?

Back

x ≤ 4

Front

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

Back

h > 12

Front

What does it mean when an inequality has a closed dot on a number line?

Back

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

Front

What does it mean when an inequality has an open dot on a number line?

Back

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

Front

How do you graph the inequality x < 5?

Back

Draw a number line, place an open dot at 5, and shade to the left.

Front

What is the first step in solving the inequality 3x - 4 < 5?

Back

Add 4 to both sides to isolate the term with x.

Front

What is the solution to the inequality 2x + 3 ≤ 11?

Back

x ≤ 4