writing and solving inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you solve the inequality -2x + 5 > 15?

Back

Subtract 5 from both sides: -2x > 10. Then divide by -2 (remember to flip the inequality): x < -5.

Front

How do you solve the inequality 8 - 3k < 8(1 - 7k)?

Back

Distribute on the right: 8 - 3k < 8 - 56k. Subtract 8 from both sides: -3k < -56k. Add 56k to both sides: 53k < 0. Divide by 53: k < 0.

Front

What inequality represents the height requirement to ride bumper cars if you must be at least 48 inches tall?

Back

h ≥ 48, meaning height h must be greater than or equal to 48 inches.

Front

How do you solve the inequality 8m - 9 > 71?

Back

Add 9 to both sides: 8m > 80. Then divide by 8: m > 10.

Front

Write an inequality for Anita needing at least a 90 grade (g) to get an A in math class.

Back

g ≥ 90, meaning grade g must be greater than or equal to 90.