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 > 3 means x is greater than 3.

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 ≥ 2 means x is greater than or equal to 2.

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 graph the inequality x < 3?

Back

To graph x < 3, draw a number line, place an open circle at 3, and shade to the left.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality y ≤ 2/5x + 1?

Back

To graph y ≤ 2/5x + 1, first graph the line y = 2/5x + 1 with a solid line, then shade below the line.

Tags

CCSS.HSA.REI.D.12

Front

What is the solution set of the inequality x > -2?

Back

The solution set of x > -2 includes all numbers greater than -2, represented by an open circle at -2 and shading to the right.

Tags

CCSS.6.EE.B.8

Front

What is a solution set in the context of inequalities?

Back

A solution set is the set of all values that satisfy the inequality.

Front

How do you determine if a point is in the solution set of an inequality?

Back

To determine if a point is in the solution set, substitute the point's coordinates into the inequality and check if the statement is true.