Writing Inequalities from Word Problems

Front

What is an inequality?

Back

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

Front

How do you represent a word problem as an inequality?

Back

Identify the quantities involved, determine the relationship between them, and use appropriate inequality symbols to express the conditions.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 1.50x + 10 ≤ 40?

Back

Subtract 10 from both sides: 1.50x ≤ 30. Then divide by 1.50: x ≤ 20.

Tags

CCSS.7.EE.B.4B

Front

What is the first step in writing an inequality from a word problem?

Back

Identify the total amount or limit that is being compared.

Tags

CCSS.6.EE.B.8

Front

In the inequality 4x + 7 ≥ 19, what does '4x' represent?

Back

'4x' represents four times a number, where 'x' is the unknown quantity.

Tags

CCSS.6.EE.B.5

Front

What is the solution to the inequality x + 5 < 10?

Back

Subtract 5 from both sides: x < 5.

Tags

CCSS.7.EE.B.4B

Front

How do you interpret the inequality 125x + 55 < 600?

Back

It means that the total cost of hiring the DJ for 'x' hours plus the assistant's fee must be less than $600.

Tags

CCSS.7.EE.B.4B

Front

What does it mean if an inequality has no solution?

Back

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