Solving Inequalities (Word Problems)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you represent a maximum limit in an inequality?

Back

You use '≤' to indicate that the value cannot exceed a certain number.

Front

How do you represent a minimum limit in an inequality?

Back

You use '≥' to indicate that the value cannot be less than a certain number.

Front

If a parking garage charges $4.50 per hour, how would you express the maximum hours you can park with $18?

Back

x ≤ 4, because 4.50 * 4 = 18.

Front

What inequality represents the statement: 'I can have no more than 10 pieces of candy'?

Back

x ≤ 10.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8, then divide by 2: x < 4.

Front

What is the solution set for the inequality x > 5?

Back

The solution set includes all numbers greater than 5.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a solid dot on 3 and shade to the right.