Solve the inequality: $| 4 x + 6 | < 30$

- 6 < x < 6

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- 9 < x < 6

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- 10 < x < 6

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1 < x < 6

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Solution

The correct option is B $- 9 < x < 6$
We know that if $| a | < b$ , then $a < b$ and $a > - b$

Thus, $| 4 x + 6 | < 30$ may be calculated as:

$4 x + 6 < 30$ and $4 x + 6 > - 30$

$4 x + 6 < 30$ and $4 x > - 30 - 6$

$4 x < 24$ and $4 x > - 36$

$x < 6$ and $x > - 9$

That is $- 9 < x < 6$ .

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