Review - Honors - Solving Multi Step and Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'AND' or 'OR'.

Front

What does 'AND' mean in compound inequalities?

Back

In 'AND' inequalities, the solution must satisfy both conditions simultaneously.

Front

What does 'OR' mean in compound inequalities?

Back

In 'OR' inequalities, the solution satisfies at least one of the conditions.

Front

How do you graph 'OR' inequalities?

Back

The shading points away from each other and never crosses.

Front

How do you graph 'AND' inequalities?

Back

The shading connects the two points and overlaps.

Front

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

Back

x ≥ -10.

Front

What is the solution to the inequality 12 ≥ 15 - 6y?

Back

y ≥ ½.

Front

What is the solution set for -3 ≤ 2x - 1 ≤ 5?

Back

-1 ≤ x ≤ 3.

Front

What is the first step in solving the inequality 2x - 3 < 7?

Back

Add 3 to both sides to isolate the term with x.

Front

What is the importance of checking your solution in inequalities?

Back

To ensure that the solution satisfies the original inequality.