Solving and Graphing Inequalities

Front

What symbol is used for a closed dot when graphing inequalities?

Back

≤ and ≥

Front

What symbol is used for an open dot when graphing inequalities?

Back

< and >

Front

Solve the inequality: m - 5 > -8. What is the solution set?

Back

0

Front

Solve the inequality: 10 ≥ x - 3. What is the solution for x?

Back

x ≤ 13

Front

What does the inequality -2 < n mean in terms of n?

Back

n is greater than -2.

Front

What is the difference between an open dot and a closed dot on a graph?

Back

An open dot indicates that the number is not included (using < or >), while a closed dot indicates that the number is included (using ≤ or ≥).

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 solution to the inequality 3x + 2 < 11?

Back

x < 3.

Front

How do you represent the solution set of x ≥ 4 on a number line?

Back

Draw a number line, place a closed dot at 4, and shade to the right.

Front

What does the inequality x + 2 ≤ 6 represent?

Back

x is less than or equal to 4.