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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 2 means x is greater than 2.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Tags

CCSS.6.EE.B.8

Front

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

Back

Subtract 5 from both sides: x > 2.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality 15 + 7x ≥ 29?

Back

Subtract 15 from both sides: 7x ≥ 14, then divide by 7: x ≥ 2.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality -9x + 7 ≥ 25?

Back

Subtract 7 from both sides: -9x ≥ 18, then divide by -9 (remember to flip the inequality): x ≤ -2.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality 7b - 3 < 11?

Back

Add 3 to both sides: 7b < 14, then divide by 7: b < 2.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality -8x < 48?

Back

Divide by -8 (remember to flip the inequality): x > -6.

Tags

CCSS.6.EE.B.8