Solving Inequalities and Absolute Value Equations

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 set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

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 graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate region.

Tags

CCSS.6.EE.B.8

Front

What is an absolute value equation?

Back

An absolute value equation is an equation that contains an absolute value expression, such as |x| = a.

Front

How do you solve an absolute value equation?

Back

To solve an absolute value equation, set up two separate equations: one for the positive case and one for the negative case.

Front

Back

The first step is to find the critical points by setting the numerator and denominator to zero.

Tags

CCSS.HSA.REI.A.2

Front

Back

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoints, while non-strict inequalities (≤, ≥) do include the endpoints.

Tags

CCSS.6.EE.B.8