Solving Inequalities

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.

Tags

CCSS.6.EE.B.8

Front

How do you represent a real-world situation with an inequality?

Back

You can represent a real-world situation with an inequality by identifying the quantities involved, determining the relationship between them, and expressing that relationship using inequality symbols.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 0.75m + 1.75 ≤ 20 for m?

Back

Subtract 1.75 from both sides to get 0.75m ≤ 18. Then divide both sides by 0.75 to find m ≤ 24.

Tags

CCSS.7.EE.B.4B

Front

What is the first step in solving the inequality -4x + 14 ≤ 54?

Back

The first step is to isolate the term with the variable by subtracting 14 from both sides, resulting in -4x ≤ 40.

Tags

CCSS.7.EE.B.4B

Front

How do you graph the inequality a ≥ 11?

Back

To graph a ≥ 11, draw a solid line at a = 11 and shade the region above the line, indicating that all values greater than or equal to 11 are included.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 6 + 2h > 30?

Back

To solve for h, subtract 6 from both sides to get 2h > 24, then divide by 2 to find h > 12.

Tags

CCSS.7.EE.B.4B

Front

What is a real-world example of using inequalities?

Back

A real-world example is budgeting: if you have a maximum amount of money to spend, you can use an inequality to express how much you can spend on different items.

Tags

CCSS.6.EE.B.8

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (>, <) do not include the boundary value, while non-strict inequalities (≥, ≤) include the boundary value.

Tags

CCSS.6.EE.B.8