Solving Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.

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

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality -d - 2 ≥ -1?

Back

Add 2 to both sides: -d ≥ 1. Then multiply by -1 (remember to flip the inequality): d ≤ -1.

Front

How do you solve the inequality -c - 3 < 2?

Back

Add 3 to both sides: -c < 5. Then multiply by -1 (flip the inequality): c > -5.

Front

How do you solve the inequality -b - 4 ≤ -4?

Back

Add 4 to both sides: -b ≤ 0. Then multiply by -1 (flip the inequality): b ≥ 0.

Front

How do you solve the inequality x + 5 > 3?

Back

Subtract 5 from both sides: x > -2.

Front

How do you solve the inequality -r - 7 < 1?

Back

Add 7 to both sides: -r < 8. Then multiply by -1 (flip the inequality): r > -8.

Front

What is the solution set for the inequality d ≤ -1?

Back

The solution set includes all real numbers less than or equal to -1.

Front

What is the solution set for the inequality c > -5?

Back

The solution set includes all real numbers greater than -5.