One-Step 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?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you solve the inequality r - 14 ≥ 17?

Back

To solve for r, add 14 to both sides: r ≥ 17 + 14, which simplifies to r ≥ 31.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

Front

Solve the inequality 45p > 315. What is p?

Back

To solve for p, divide both sides by 45: p > 315 / 45, which simplifies to p > 7.

Front

Solve the inequality -11x > 99. What is x?

Back

To solve for x, divide both sides by -11 and flip the inequality sign: x < 99 / -11, which simplifies to x < -9.

Front

Write the inequality for the phrase 'a number b is at least -16'.

Back

The inequality is b ≥ -16.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

What is the solution set for the inequality x + 5 < 10?

Back

To solve for x, subtract 5 from both sides: x < 10 - 5, which simplifies to x < 5.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

To graph x ≥ 3, draw a closed circle on 3 and shade to the right, indicating all numbers greater than or equal to 3.