Unit 5 Equations and Inequalities

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

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

Front

How do you solve the inequality x + 5 < 12?

Back

Subtract 5 from both sides: x < 7.

Front

What is the solution to the inequality 3x ≥ 9?

Back

Divide both sides by 3: x ≥ 3.

Front

What does the number line represent in inequalities?

Back

A number line visually represents the solutions to an inequality, showing all possible values that satisfy it.

Front

If x ≤ 8, what are some possible values for x?

Back

Possible values include 8, 7, 6, 5, etc.

Front

What is the solution to the equation x - 214.8 = 198.4?

Back

Add 214.8 to both sides: x = 413.2.

Front

How can you express 'at most 40 minutes' in an inequality?

Back

You can express it as t ≤ 40, where t is the time spent.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you represent the inequality for Shari's homework time?

Back

s ≤ 17, where s is the time spent on science homework.