Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Tags

CCSS.6.EE.B.8

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

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals, such as (a, b) or [a, b].

Tags

CCSS.6.EE.B.8

Front

How do you represent the inequality x > 3 in interval notation?

Back

(3, ∞) is the interval notation for x > 3.

Tags

CCSS.6.EE.B.8

Front

What does a closed dot on a number line indicate?

Back

A closed dot indicates that the number is included in the solution set, used for ≤ or ≥.

Tags

CCSS.6.EE.B.8

Front

What does an open dot on a number line indicate?

Back

An open dot indicates that the number is not included in the solution set, used for < or >.

Tags

CCSS.6.EE.B.8

Front

If Daniel can spend no more than $40, how would you express this as an inequality?

Back

1.50x + 10 ≤ 40, where x is the number of rides.

Tags

CCSS.7.EE.B.4B

Front

How do you solve the inequality 3p + 5.5 ≤ 10 for p?

Back

Subtract 5.5 from both sides: 3p ≤ 4.5, then divide by 3: p ≤ 1.5.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality x - 4 < 2?

Back

x < 6.

Tags

CCSS.7.EE.B.4B