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, or equal to the other.

Tags

CCSS.6.EE.B.8

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 30 + n ≥ 50?

Back

n ≥ 20

Tags

CCSS.7.EE.B.4B

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable, perform the same operations on both sides of the inequality, just like in equations, but remember to reverse the inequality sign if you multiply or divide by a negative number.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 5z - 2z - 2 < 13?

Back

z < 5

Front

What does the inequality symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the inequality symbol '≥' mean?

Back

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

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality -4 + y < -8?

Back

y < -4

Tags

CCSS.7.EE.B.4B

Front

What is the first step to solve the inequality 3(x - 3) ≤ 2(x + 2)?

Back

Distribute both sides: 3x - 9 ≤ 2x + 4.

Front

What is the solution to the inequality x - 5 > 2?

Back

x > 7

Tags

CCSS.7.EE.B.4B