Question

Solve the compound inequality and write the answer using interval notation. (Simplify your answer completely.) -4 < x - 2 < 4

          Solve the compound inequality and write the answer using interval notation. (Simplify your answer completely.)

-4 < x - 2 < 4
        
Solve the compound inequality and write the answer using interval notation. (Simplify your answer completely.)

-4 < x - 2 < 4

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Solve the compound inequality and write the answer using interval notation. Simplify your answer completely.
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Transcript

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00:01 So we have x plus 4 over x plus 6, and that's greater than negative 1.
00:10 To solve a rational inequality, we're going to collect all our terms on one side and have 0 on the other.
00:22 I'm going to get common denominators, so that's x plus 6 over x plus 6.
00:29 Now i'm going to put them together, so i have x plus 4 plus x plus 6.
00:37 That gives me 2x plus 10 over x plus 6.
00:43 Now, when i'm solving a rational inequality, i need the value that makes the numerator 0 and the value that makes the denominator 0 to test...
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