Compound Inequalities:

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Presentation transcript:

Compound Inequalities:

Steps:

Steps: Split them apart and treat like two separate equations.

Steps: Split them apart and treat like two separate equations. Where do I split them apart?

Steps: Split them apart and treat like two separate equations. Where do I split them apart? Solve for the variable (in each).

Solve for the variable: -3 < 2x – 1 < 7

Solve for the variable: 2 < 3n – 4 ≤ 14

Solve for the variable: 1.5 < w + 3 ≤ 6.5

Solve for the variable: 3 > x + 4 > 10

Solve for the variable: -3 > x – 14 ≥ 11

Solve for the variable: 10 > 5 – x ≥ 19

Write and graph the inequality: All real numbers n that are at most -3 and at least 5.

Write and graph the inequality: All real numbers x that are less than 3 or greater than 7.

Write and graph the inequality: All real numbers b less than 100 or greater than 300.

Solve the compound inequality and graph the solution. 3b – 1 < -7 or 4b + 1 > 9

Solve the compound inequality and graph the solution. 7 – 3c ≥ 1 or 5c + 2 ≥ 17

Write a compound inequality for the graph.

Write a compound inequality for the graph.

Write a compound inequality for the graph.

Write a compound inequality for the graph.

Write a compound inequality for the graph.

How to solve the really tough ones:

How to solve the really tough ones: First split the two apart.

How to solve the really tough ones: First split the two apart. Follow steps one through eight.

How to solve the really tough ones: First split the two apart. Follow steps one through eight. 2(x + 1) > 3(2x – 2) > 4x -10

How to solve the really tough ones: First split the two apart. Follow steps one through eight. x – 2 < 4(x + ½) < 9(1/3 + x)