Solving 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

How do you solve the inequality 77 ≤ 5 + 8n?

Back

Subtract 5 from both sides: 72 ≤ 8n. Then divide by 8: 9 ≤ n, or n ≥ 9.

Front

What is the solution to the inequality r - 14 ≥ 17?

Back

Add 14 to both sides: r ≥ 31.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

How do you graph the inequality a > 6?

Back

Draw a number line, place an open circle at 6, and shade to the right.

Front

Write an inequality for the situation: We need to make at least $10,000.

Back

x ≥ 10,000.

Front

What is the solution to the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides: 3x < 15. Then divide by 3: x < 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality 2n + 3 ≤ 11?

Back

Subtract 3 from both sides: 2n ≤ 8. Then divide by 2: n ≤ 4.