Solving Two-Step Inequalities

How do you solve the inequality 22 < 6c + 4?

• c < 3

• c > 4

• c > 3

• c = 3

What is a two-step inequality?

• A type of equation that requires one operation to solve.

• An inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

• A mathematical statement that compares two expressions using a greater than or less than sign.

• An inequality that can be solved using only addition or subtraction.

How do you solve the inequality 2k - 9 ≤ -19?

• k ≤ -5

• k ≥ -5

• k < -5

• k > -5

Joanna needs to make at least $100. What inequality represents her earnings?

• 60 + 5x > 100

• 60 + 5x = 100

• 60 + 5x ≥ 100

• 60 + 5x ≤ 100

What does the solution c > 3 indicate?

• It indicates that c can be any number greater than 3.

• It indicates that c is equal to 3.

• It indicates that c can be any number less than 3.

• It indicates that c is a negative number.

How do you solve the inequality 2 - 3x ≤ 20?

• x ≤ 6

• x ≥ -6

• x < -6

• x = 6

Why is it important to understand two-step inequalities?

• It helps in solving real-world problems and making decisions based on constraints.

• It is only relevant for academic purposes and has no real-world application.

• It simplifies complex mathematical concepts into easier forms.

• It is a requirement for passing standardized tests.

What does the solution x ≥ -6 mean?

• It means that x can be any number less than -6.

• It means that x can be any number greater than or equal to -6.

• It means that x can only be -6.

• It means that x can be any negative number.

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

• The inequality sign remains the same.

• The inequality sign flips direction.

• The inequality sign becomes equal.

• The inequality sign disappears.

What does the solution k ≤ -5 represent on a number line?

• All numbers greater than -5

• All numbers less than -5, including -5 itself

• Only the number -5

• All numbers less than or equal to 0