Two-Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. For example, in the inequality 2x + 3 < 7, you would first subtract 3 and then divide by 2.

Front

When solving the inequality 3x ≥ 12, do you need to flip the inequality sign?

Back

No, you do not need to flip the sign when dividing or multiplying by a positive number.

Front

What type of circle is used when graphing b < 6?

Back

An open circle is used when graphing b < 6.

Front

What does an open circle indicate on a number line?

Back

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

Front

What does a closed circle indicate on a number line?

Back

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

Front

When graphing an inequality, which symbols require an open dot?

Back

The symbols < and > require an open dot.

Front

Solve and graph the inequality: 77 ≤ 5 + 8n. What is the solution?

Back

The solution is n ≥ 9.

Front

Solve and graph the inequality: 7n - 1 > 76. What is the solution?

Back

The solution is n > 11.

Front

What is the first step to solve the inequality 4x + 5 < 21?

Back

The first step is to subtract 5 from both sides, resulting in 4x < 16.

Front

What is the second step to solve the inequality 4x < 16?

Back

The second step is to divide both sides by 4, resulting in x < 4.