Solving Compound Inequalities

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Solving Compound Inequalities : 

Solving Compound Inequalities

Slide 2: 

When solving a compound inequality such as -4 < x + 4 < 6, you need to remember that you are solving TWO inequalities at once. Therefore, whatever you do to isolate the “x”, you must also do to both sides of the equation. -4 < x + 4 < 6 -4 - 4 -4 -8 < x < 2 (-8, 2) - interval notation

Slide 3: 

Given a compound inequality such as 2x + 1 < -2 OR 2x + 1 > 5 you must solve both equations separately. 2x + 1 < -2 - 1 -1 2x < -3 x < -3/2 2x + 1 > 5 - 1 -1 2x > 4 x > 2 Interval notation: (-, -3/2) OR (2, )

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