solving AND compound inequalities

Front

What must you do to the inequality when multiplying or dividing by a negative number?

Back

Flip the inequality.

Front

Solve the compound inequality: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3

Front

Write an inequality for the graph that shows x values from -2 to 5, including -2 but not 5.

Back

-2 ≤ x < 5

Front

Can x = -5 be a solution to the inequality -6 < 3x + 9 < 21?

Back

No.

Front

What does the shading look like when graphing 'AND' inequalities?

Back

Shading that always connects the 2 dots.

Front

What is a compound inequality?

Back

An inequality that combines two inequalities using 'and' or 'or'.

Front

How do you solve a compound inequality?

Back

Solve each part of the inequality separately and then combine the results.

Front

What is the difference between 'AND' and 'OR' in compound inequalities?

Back

'AND' means both conditions must be true; 'OR' means at least one condition must be true.

Front

What is the solution set for the inequality x > 3 AND x < 7?

Back

(3, 7) or 3 < x < 7.

Front

How do you graph the inequality x ≤ 4?

Back

Draw a solid dot at 4 and shade to the left.