2 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, typically involving addition or subtraction followed by multiplication or division.

Front

When do you use an open circle on a graph for an inequality?

Back

An open circle is used on a graph for inequalities that are < or >, indicating that the endpoint is not included in the solution.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be greater than or equal to a certain number.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the value can be less than or equal to a certain number.

Front

How do you solve the inequality 3x + 7 < 22?

Back

Subtract 7 from both sides to get 3x < 15, then divide by 3 to find x < 5.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality) to find x ≥ -10.

Front

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

Back

First, solve for n: 7n > 77, then n > 11. Graph with an open circle at 11 and shade to the right.

Front

What is the solution to the inequality 11 > -3y + 2?

Back

Subtract 2 from both sides to get 9 > -3y, then divide by -3 (flipping the inequality) to find y < -3.

Front

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

Back

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

Front

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

Back

The first step is usually to isolate the term with the variable by adding or subtracting a constant from both sides.