Solving and Graphing Inequalities

What is the first step in solving an inequality?

• Check two points

• State a reason for each step

• Isolate the variable

• Graph the solution

What property is applied when adding the same number to both sides of an inequality?

• Multiplication Property of Inequality

• Addition Property of Inequality

• Division Property of Inequality

• Subtraction Property of Inequality

Why do we use an open point when graphing x < -3?

• Because it is a border point

• Because -3 is not included in the solution

• Because -3 is included in the solution

• Because all values are greater than -3

What should be true about the points checked on either side of the solution set?

• One should be true and one should be false

• Both should be on the solution line

• Both should be false

• Both should be true

What property is applied when dividing both sides of an inequality by the same number?

• Multiplication Property of Inequality

• Subtraction Property of Inequality

• Addition Property of Inequality

• Division Property of Inequality

In the second example, why is negative 4 not part of the solution set?

• Because it is less than -3

• Because it is not a border point

• Because it is equal to -3

• Because it is greater than -3

What mistake was made in the third example when graphing the inequality?

• The variable was on the wrong side

• The graph was not drawn

• The inequality was not simplified

• The points were not checked

What does it mean if a point on the left side of the graph is false?

• The solution set is incorrect

• The point is part of the solution set

• The border point is incorrect

• The point is not part of the solution set

What property is applied when multiplying both sides of an inequality by the same number?

• Addition Property of Inequality

• Multiplication Property of Inequality

• Division Property of Inequality

• Subtraction Property of Inequality

Why is it useful to choose numbers divisible by 3 when checking points in the fourth example?

• To simplify the inequality

• To ensure the points are on the solution line

• To make the graph easier to draw

• To avoid dealing with fractions