2.10 Multi-step Inequalities

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

You flip the inequality symbol.

Front

How do you graph the solution set of the inequality -4n + 1 > -23?

Back

First, solve for n: -4n > -24, then n < 6. Graph with an open dot at 6 and shade to the left.

Front

What is the solution to the inequality 6(n + 2) < -72?

Back

n < -14.

Front

When graphing an inequality, what symbol indicates an open dot?

Back

The symbols < and > indicate an open dot.

Front

What is the solution to the inequality 3x - 5 > -26?

Back

x > -7.

Front

What is the first step in solving a multi-step inequality?

Back

Isolate the variable on one side of the inequality.

Front

What does it mean to solve an inequality?

Back

To find all values of the variable that make the inequality true.

Front

What is the difference between a closed dot and an open dot on a number line?

Back

A closed dot indicates that the number is included in the solution (≤ or ≥), while an open dot indicates it is not included (< or >).

Front

How do you check if a solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What is the solution set of the inequality 2x + 3 < 11?

Back

x < 4.