Inequalities Test Review

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 '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be either less than or equal to the value on the right.

Front

How do you solve the inequality -5m < 10?

Back

To solve -5m < 10, divide both sides by -5 and reverse the inequality sign: m > -2.

Front

What is the solution to the inequality 2.5 ≤ x?

Back

The solution to the inequality 2.5 ≤ x is x is greater than or equal to 2.5.

Front

What does the inequality -2(x+2) < 14 represent?

Back

The inequality -2(x+2) < 14 can be solved to find the values of x that make the statement true. The solution is x > -9.

Front

How do you represent a situation where you can spend no more than $60 at Top Golf?

Back

You can represent this situation with the inequality 12h ≤ 60, where h is the number of hours spent golfing.

Front

What is the solution to the inequality -4(r+12) ≥ 24?

Back

To solve -4(r+12) ≥ 24, divide both sides by -4 and reverse the inequality sign: r ≤ -18.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is strictly greater than the value on the right.

Front

What is the difference between '≥' and '>'?

Back

'≥' means 'greater than or equal to', while '>' means 'greater than' only, without including equality.

Front

How do you graph the inequality x < 3?

Back

To graph x < 3, draw a number line, place an open circle at 3, and shade to the left to indicate all values less than 3.