3 years ago

Solve the inequality -9x/11 - 7 < -5.

Mathematics

1 answer:

Nuetrik [128]3 years ago

3 0

-9x/11 -7< -5
+7 +7
-9x/11 < 2
*11 < *11
-9x < 22
/-9 /-9
x> 2.4

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Step one:
ALWAYS set equation equal to zero, which in this case has already been done for us.

Step two:
Figure out what formula you need to use in order to solve in this case I'd use the Quadratic formula.

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Quadratic formula:
$x = \frac{ - b + - \sqrt{(b) ^{2} - 4(a)(c)} }{2(a)}$
Then you would plug in the information.
$x = \frac{ - 9+ - \sqrt{(9) {}^{2} - 4(1)(2) } }{2(1)}$
The solve for what is underneath the square root ONLY.
$x = \frac{ - 9 + - \sqrt{73} }{2}$
Since you cannot solve this any further, your final two answers are...
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