MGM PA Inequalities Study Guide

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -3(x-4) < -2.4?

Back

First, distribute -3: -3x + 12 < -2.4. Then, subtract 12 from both sides: -3x < -14.4. Finally, divide by -3 (remember to flip the inequality sign): x > 4.8.

Tags

CCSS.6.EE.B.8

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Tags

CCSS.6.EE.B.8

Front

Is 5 a solution to the inequality -14y - 3 > -2?

Back

No, substituting y = 5 gives -14(5) - 3 = -70 - 3 = -73, which is not greater than -2.

Tags

CCSS.6.EE.B.5

Front

Is 0 a solution to the inequality -14y - 3 > -2?

Back

No, substituting y = 0 gives -14(0) - 3 = -3, which is not greater than -2.

Tags

CCSS.6.EE.B.5

Front

What does x <= 4.2 mean in the context of Ms. Salgado's car repair?

Back

It means the mechanic must work less than 4 hours and 12 minutes for the total cost to be within Ms. Salgado's budget.

Tags

CCSS.6.EE.B.8

Front

What is the first mistake made when solving inequalities?

Back

The first mistake is often forgetting to flip the sign when multiplying or dividing by a negative number.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.

Tags

CCSS.6.EE.B.5

Front

What is the solution set of an inequality?

Back

The solution set is the set of all values that satisfy the inequality.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that can satisfy the inequality, often resulting from contradictory statements.