Solutions and Inequalities

Front

No Solution

For two points define and provide an example

Back

When an equation has no possible value for the variable that makes the equation true.

EX: 2x + 3= 2x + 7

Front

This is an example of what type of solution. EX: x = x + 1

Back

No solution. As x = x + 1 has no solution for x.

Front

In a One Variable Inequality like this you must EX: 7x >21

Back

Must solve to get the variable by itself on one side.

Front

Solving Inequalities with Negatives

Back

When solving, if you multiply or divide by a negative on both sides, you must flip the inequality symbol.

Front

Inequality Symbols: Greater Than

Back

>

Front

Possible Solutions for x ≥ 5

Back

5, 6, 7, 8, 9, ...

Front

Graph of x ≥ 5 on a number line

Back

Front

Interval notation uses square brackets to include the end value.

Back

Square brackets [ ] include the end value in interval notation.

Front

Example of interval notation for x < 2.

Back

(∞, 2)

Front

Example of interval notation for x > 2.

Back

(2, ∞)