IM Unit 2 End

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.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

How do you solve the inequality 4x - 3 < -1x + 12?

Back

Combine like terms: 5x < 15, then divide by 5: x < 3.

Front

What is the first step to solve the inequality 25 + 12x ≥ 200?

Back

Subtract 25 from both sides: 12x ≥ 175.

Front

How do you isolate x in the inequality 12x ≥ 175?

Back

Divide both sides by 12: x ≥ 14.58.

Front

What is the meaning of the inequality 6.89 + 0.59x ≤ 8.50?

Back

This means that the total cost of a binder and pens must be less than or equal to $8.50.

Front

How do you find the maximum number of pens Ann can buy if she has $8.50 to spend?

Back

Set up the inequality 6.89 + 0.59x ≤ 8.50 and solve for x.

Front

What is the solution to the inequality 0.85x + 375 > 450?

Back

Subtract 375 from both sides: 0.85x > 75, then divide by 0.85: x > 88.24.

Front

What does it mean if x > 88.24 in the context of the limo driver problem?

Back

The limo driver must drive more than 88.24 miles to make more than $450.