 # Compound Inequalities “And” & “Or” Graphing Solutions.

## Presentation on theme: "Compound Inequalities “And” & “Or” Graphing Solutions."— Presentation transcript:

Compound Inequalities “And” & “Or” Graphing Solutions

Compound Inequality ---Two or more inequalities that are connected by the words “and” or “or”. This inequality is true only if both inequalities are true. The solution must be a solution for both inequalities! We will graph where the two inequalities intersect. This inequality is true if one or the other inequality is true. The solution is a solution of either inequality. We will graph the union— graph both inequalities.

-3 -2 -1 0 1 2 3 4 5 1. Graph the solution set of x < 3 x ≥ -2 -3 -2 -1 0 1 2 3 4 5 -3 -2 -1 0 1 2 3 4 5 Graph x < 3 Graph x ≥ -2 Find the intersection

-6 -4 -2 0 2 4 6 8 10 2. Graph the solution set of x ≤ 8 x > -6 -6 -4 -2 0 2 4 6 8 10 -6 -4 -2 0 2 4 6 8 10 Graph x ≤ 8 Graph x > -6 Find the intersection

-6 -4 -2 0 2 4 6 8 10 3. Graph the solution set of x > -2 x > 1 -6 -4 -2 0 2 4 6 8 10 -6 -4 -2 0 2 4 6 8 10 Graph x > -2 Graph x > 1 Find the intersection

4. Solve and Graph the solution set of -6 -4 -2 0 2 4 6 8 10

5. Solve and Graph the solution set of -6 -4 -2 0 2 4 6 8 10

6. Solve and Graph the solution set of -6 -4 -2 0 2 4 6 8 10 Where Do they Intersect? -6 -4 -2 0 2 4 6 8 10

7. Solve and Graph the solution set of -6 -4 -2 0 2 4 6 8 10 Where Do they Intersect? -6 -4 -2 0 2 4 6 8 10 Doesn’t Cross… So NO Solution!

-6 -4 -2 0 2 4 6 8 10 8. Graph the solution set of x ≤ 0 x > 6 -6 -4 -2 0 2 4 6 8 10 -6 -4 -2 0 2 4 6 8 10 Graph x ≤ 0 Graph x > 6 Find the Union Just graph Both Inequalities!

-6 -4 -2 0 2 4 6 8 10 9. Graph the solution set of x > -4 x > 6 -6 -4 -2 0 2 4 6 8 10 -6 -4 -2 0 2 4 6 8 10 Graph x > -4 Graph x > 6 Find the Union Just graph Both Inequalities! The first one contains All the points in the 2 nd inequality…so x > -4 is the answer.

10. Solve and Graph the solution set of -6 -4 -2 0 2 4 6 8 10 Graph Both Inequalities -6 -4 -2 0 2 4 6 8 10 x < -2 is included in x < 2