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 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -3x ≤ 18?

Back

Divide both sides by -3, remembering to flip the inequality sign: x ≥ -6.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 14 ≥ x - 8?

Back

Add 8 to both sides: 22 ≥ x.

Tags

CCSS.7.EE.B.4B

Front

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

Back

Add 7 to both sides: x ≥ 11.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality s + 9 ≥ -25?

Back

Subtract 9 from both sides: s ≥ -34.

Tags

CCSS.7.EE.B.4B

Front

How do you graph the inequality x ≥ -6?

Back

Draw a number line, place a closed circle on -6, and shade to the right.

Tags

CCSS.6.EE.B.8

Front

What does it mean to 'solve and graph' an inequality?

Back

It means to find the solution set and represent it visually on a number line.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77, then divide by 7: n > 11.

Tags

CCSS.7.EE.B.4B