Solving Inequalities!

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' represent in inequalities?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than'. It indicates that the value on the left is strictly greater than the value on the right.

Front

What does the symbol '<' represent in inequalities?

Back

'<' means 'less than'. It indicates that the value on the left is strictly less than the value on the right.

Front

How do you solve the inequality 3x + 5 ≤ 11?

Back

Subtract 5 from both sides to get 3x ≤ 6, then divide by 3 to find x ≤ 2.

Front

How do you solve the inequality 2x + 5 > 12?

Back

Subtract 5 from both sides to get 2x > 7, then divide by 2 to find x > 3.5.

Front

How do you solve the inequality 4x - 7 ≥ -3?

Back

Add 7 to both sides to get 4x ≥ 4, then divide by 4 to find x ≥ 1.

Front

How do you solve the inequality 8x - 7 < 9?

Back

Add 7 to both sides to get 8x < 16, then divide by 8 to find x < 2.

Front

How do you solve the inequality 7x - 3 > 18?

Back

Add 3 to both sides to get 7x > 21, then divide by 7 to find x > 3.