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 a compound inequality?

Back

'AND' means both conditions must be true at the same time.

Front

What does 'OR' mean in a compound inequality?

Back

'OR' means at least one of the conditions must be true.

Front

How do you graph the inequality x ≤ -2 OR x > 5?

Back

Graph a solid dot at -2 and shade left, then graph an open dot at 5 and shade right.

Front

Solve the compound inequality: 3d - 4 < -7 OR 5d + 2 > 12.

Back

d < -1 OR d > 2.

Front

What is the solution to the inequality 2 < x + 2 < 5?

Back

0 < x < 3.

Front

How do you solve the compound inequality -3 ≤ 2x - 1 ≤ 5?

Back

-1 ≤ x ≤ 3.

Front

What inequality is represented by the graph with a solid dot at 2 and shading to the right?

Back

x > 2.

Front

What inequality is represented by the graph with a solid dot at -3 and shading to the left?

Back

x ≤ -3.

Front

What is the difference between 'x < 5' and 'x ≤ 5'?

Back

'x < 5' does not include 5, while 'x ≤ 5' includes 5.