1-Step Inequalities

Front

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

Back

≤, ≥

Front

How do you solve the inequality 8x ≥ -32?

Back

x ≥ -4

Front

What is the solution to the inequality y + 5 ≥ 2?

Back

y ≥ -3 (Graph the solution with a closed dot at -3 on the number line.)

Front

What symbols are used for an open dot when graphing inequalities?

Back

<, >

Front

What is the solution to the inequality y − 10 > 14?

Back

y > 24

Front

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

Back

It means that the value at that point is included in the solution set.

Front

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

Back

It means that the value at that point is not included in the solution set.

Front

How do you graph the solution to the inequality y + 5 ≥ 2?

Back

First, solve for y to get y ≥ -3, then graph a closed dot at -3 and shade to the right.

Front

What is the first step in solving the inequality y − 10 > 14?

Back

Add 10 to both sides to isolate y.

Front

What is the difference between ≤ and < when graphing inequalities?

Back

≤ includes the endpoint (closed dot), while < does not (open dot).