docs.google.com/document/d/1z7NpDHYFABc6rvHOcE_io3zx0JKYhXhDqGyPpzPEzwI/edit?usp=sharing

Answer 1

0 < ( x + 144 ) ( x + 67 )

If x > - 67 for example x = - 66

( - 66 + 144 ) ( - 66 + 67 ) = 78 ∙ ( - 1 ) = - 78 which is less than zero.

That is why x must be > - 67

If x > -144 for example x = - 143

( -143 + 144 ) ( - 143 + 67 ) = 1 ∙ ( - 76 ) = - 76 which is less than zero.

That is why x must be < - 144

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Remark:

For negative numbers - 66 is greater than - 67

and

- 143 is greater than - 144
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So the solution is:

x > - 67 , x < - 144

Solution C