Solving Inequalities in One Variable

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.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality 4x + 3 ≤ −6?

Back

Subtract 3 from both sides: 4x ≤ -9. Then divide by 4: x ≤ -2.25.

Front

Translate the inequality statement: The sum of a number and 8 is greater than 12.

Back

n + 8 > 12.

Front

What is the solution to the inequality 3(x – 1) ≥ –9?

Back

x ≥ –2.

Front

If Juan has saved $213 and saves $3 a day, how many days will it take him to save at least $654?

Back

It will take at least 147 days.

Front

What is the first step in solving the inequality 2x - 5 < 3?

Back

Add 5 to both sides: 2x < 8.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solutions of the inequality on a number line, using open or closed circles to indicate whether endpoints are included.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.