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. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

1. Subtract 14 from both sides: -4x ≤ 40. 2. Divide both sides by -4 (remember to flip the inequality): x ≥ -10.

Front

What is the first step in solving the inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides: 2k ≤ -10.

Front

What is the solution to the inequality 2k - 9 ≤ -19?

Back

k ≤ -5.

Front

What is the correct order of operations when solving the equation 5b - 6 = 24?

Back

1. Add 6 to both sides: 5b = 30. 2. Divide both sides by 5: b = 6.

Front

Back

Multiply both sides by 11: k = 176.

Front

What does the inequality 25 < X - 10 mean?

Back

It means that X must be greater than 35.

Front

What is the solution to the inequality 25 < X - 10?

Back

X > 35.

Front

What is the purpose of flipping the inequality sign when dividing by a negative number?

Back

Flipping the inequality sign ensures that the relationship between the two sides of the inequality remains true.

Front

What is an example of a two-step inequality?

Back

An example is 3x + 2 > 11. The steps to solve it are: 1. Subtract 2 from both sides: 3x > 9. 2. Divide by 3: x > 3.