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

'≥' means 'greater than or equal to'. It indicates that a value can be greater than or equal to a certain number.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that a value can be less than or equal to a certain number.

Front

How do you solve the inequality: y - 13 ≤ -15?

Back

Add 13 to both sides: y ≤ -2.

Front

How do you solve the inequality: x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

What is the solution to the inequality: 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.

Front

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

Back

x ≥ 10000.

Front

What is the solution set for the inequality: c < 9?

Back

The solution set includes all numbers less than 9.

Front

How do you graph the inequality x > 2?

Back

Draw a number line, place an open circle at 2, and shade to the right.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.