6.3 Independent Practice: One Step 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 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: 10 + 3 ≥ x, which simplifies to 13 ≥ x or x ≤ 13.

Front

What is the solution to the inequality x + 8 < 12?

Back

Subtract 8 from both sides: x < 4, so the solution is x < 4.

Front

How do you graph the inequality x < 5?

Back

You use an OPEN dot at 5 and shade to the left.

Front

What does an OPEN dot represent in graphing inequalities?

Back

An OPEN dot indicates that the number is not included in the solution (for < or >).

Front

What is the solution to the inequality x - 2 < 5?

Back

Add 2 to both sides: x < 7.

Front

How do you solve the inequality 12 ≥ 6w?

Back

Divide both sides by 6: 2 ≥ w, or w ≤ 2.

Front

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

Back

Divide both sides by 3: x > 3.