Answered

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What is the solution set of this inequality? 3|p + 4| + 5 < 8 (–5, –3) (–3, 0) (0, –5) (3, 5)

Sagot :

Given:

The inequality is

[tex]3|p+4|+5<8[/tex]

To find:

The solution set for the given inequality.

Solution:

We have,

[tex]3|p+4|+5<8[/tex]

[tex]3|p+4|<8-5[/tex]

[tex]3|p+4|<3[/tex]

Divide both sides by 3.

[tex]|p+4|<1[/tex]

It can be written as

[tex]-1<p+4<1[/tex]

Subtracting 4 from each side, we get

[tex]-1-4<p+4-4<1-4[/tex]

[tex]-5<p<-3[/tex]

The solution set of the given inequality is (-5,-3).

Therefore, the correct option is A.

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