Inequalities: Addition and Subtraction

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥ to show that one expression is not equal to the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you write an inequality for a weight limit?

Back

To write an inequality for a weight limit, use a variable to represent the weight and set it less than or equal to the maximum weight allowed.

Front

If a box weighs 5.5 lbs and can hold up to 12 lbs, how do you express the additional weight it can hold?

Back

Let w be the additional weight. The inequality is w ≤ 6.5.

Front

What is the inequality for a number line that includes -1?

Back

The inequality is j ≥ -1, meaning j can be -1 or any number greater.

Front

How do you represent a maximum score in an inequality?

Back

To represent a maximum score, use a variable and set it less than or equal to the maximum score.

Front

If a team can give up no more than 75 points and has already given up 42 points, how do you express the points they can still give up?

Back

Let p be the points they can still give up. The inequality is p ≤ 33.

Front

What is the first step in solving an inequality?

Back

The first step in solving an inequality is to isolate the variable on one side of the inequality sign.

Front

How do you express a budget constraint in an inequality?

Back

To express a budget constraint, use a variable for the remaining budget and set it less than or equal to the total budget.