Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is not equal to the other.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left side is smaller than the value on the right side.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '>' means 'greater than'. It indicates that the value on the left side is larger than the value on the right side.

Tags

CCSS.6.EE.B.8

Front

What does '≤' signify in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side is either smaller than or equal to the value on the right side.

Tags

CCSS.6.EE.B.8

Front

What does '≥' signify in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either larger than or equal to the value on the right side.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 14 < -2a + 6 - 2a?

Back

First, simplify: 14 < -4a + 6. Then, subtract 6 from both sides: 8 < -4a. Finally, divide by -4 (remember to flip the inequality): a < -2.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used when graphing b < 6, indicating that 6 is not included in the solution.

Tags

CCSS.6.EE.B.8

Front

What does a closed circle represent when graphing an inequality?

Back

A closed circle indicates that the number is included in the solution set.

Tags

CCSS.6.EE.B.8

Front

How would you represent the statement 'I can have no more than 10 pieces of candy' in inequality form?

Back

The statement can be represented as x ≤ 10.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -2k > 18?

Back

Divide both sides by -2 (remember to flip the inequality): k < -9.

Tags

CCSS.6.EE.B.8