12.9.24 Per 3 One-step Inequalities

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 and flip the inequality sign: x > -6.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

What does the inequality 3x ≥ 12 mean?

Back

It means that three times a number x is greater than or equal to 12.

Front

How do you isolate the variable in the inequality 24 ≤ h + 15?

Back

Subtract 15 from both sides: h ≥ 9.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What does the symbol '≤' mean in an inequality?

Back

It means 'less than or equal to'.

Front

What does the symbol '≥' mean in an inequality?

Back

It means 'greater than or equal to'.

Front

If x + 3 < 10, what is the solution for x?

Back

Subtract 3 from both sides: x < 7.

Front

What is the first step to solve the inequality 5x > 20?

Back

Divide both sides by 5: x > 4.