Two step inequalities - graphing

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to solve for the variable, typically involving addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality: 11x + 14 < -8?

Back

1. Subtract 14 from both sides: 11x < -22. 2. Divide by 11: x < -2.

Front

What does the solution x < -2 look like on a number line?

Back

An open circle at -2 and a line extending to the left.

Front

What is the first step to solve the inequality: -169 ≤ 8m - 9?

Back

Add 9 to both sides: -160 ≤ 8m.

Front

How do you isolate m in the inequality -160 ≤ 8m?

Back

Divide both sides by 8: -20 ≤ m or m ≥ -20.

Front

What does the solution m ≥ -20 look like on a number line?

Back

A closed circle at -20 and a line extending to the right.

Front

How do you solve the inequality: 7n - 1 > 76?

Back

1. Add 1 to both sides: 7n > 77. 2. Divide by 7: n > 11.

Front

What does the solution n > 11 look like on a number line?

Back

An open circle at 11 and a line extending to the right.

Front

What is the first step to solve the inequality: 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides: 72 ≤ 8n.

Front

How do you isolate n in the inequality 72 ≤ 8n?

Back

Divide both sides by 8: 9 ≤ n or n ≥ 9.