Lesson 14/15 Graphing Solutions to Inequalities

Front

What symbols are used to indicate a closed dot when graphing inequalities?

Back

≤, ≥

Front

How would you represent the statement 'Doctors say you should exercise at least 30 minutes every day' as an inequality?

Back

x ≥ 30

Front

What is the solution to the inequality 7b - 3 < 11?

Back

b < 2

Front

When graphing the inequality x < 3, would you use a closed or open circle?

Back

Open circle

Front

What inequality does the number line graph with a closed dot at 3 represent?

Back

x ≥ 3

Front

What is the difference between a closed dot and an open dot in graphing inequalities?

Back

A closed dot indicates that the number is included in the solution (≤ or ≥), while an open dot indicates that the number is not included (< or >).

Front

How do you graph the inequality x > 5 on a number line?

Back

Use an open circle at 5 and shade to the right.

Front

What does the inequality x ≤ 10 mean in terms of a number line?

Back

All numbers less than or equal to 10 are included, represented by a closed dot at 10 and shading to the left.

Front

If you have the inequality 2x + 4 > 12, what is the first step to solve for x?

Back

Subtract 4 from both sides to get 2x > 8.

Front

What is the solution set for the inequality -3x ≤ 9?

Back

x ≥ -3.