Graphing Compound Inequalities

Front

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

Back

Shading that always connects the 2 dots.

Front

Write an inequality for the graph that shows x ≤ −2 OR x > 5.

Back

x ≤ −2 OR x > 5

Front

How can you represent the gallons of water your family needs this week if you need at least 2 gallons but no more than 8 gallons?

Back

2 ≤ x ≤ 8

Front

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

Back

Flip the inequality.

Front

Why do we draw a closed circle when graphing 'less than or equal to' or 'greater than or equal to'?

Back

Because we are INCLUDING that solution.

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

How do you graph the inequality x < 3?

Back

Draw a number line, place an open circle at 3, and shade to the left.

Front

What does an open circle represent in graphing inequalities?

Back

An open circle indicates that the number is not included in the solution.

Front

What does a closed circle represent in graphing inequalities?

Back

A closed circle indicates that the number is included in the solution.

Front

How do you solve the inequality -2x > 6?

Back

Divide both sides by -2 and flip the inequality: x < -3.