Which answer gives the correct inequality for the following number line?

Mathematics

1 answer:

rodikova [14]3 years ago

4 0

Answer:

n < -2

Step-by-step explanation:

Numbers to the left from -2

Set of numbers:

(- oo, -2)

The inequality for the given line:

n < -2

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14-4(3x+1)+2x simplify

earnstyle [38]

$\huge\text{Hey there!}$

$\large\boxed{\mathbf{14 - 4(3x + 1) + 2x}}\\\\\large\text{DISTRIBUTE 4 WITHIN the PARENTHESES}\\\\\large\boxed{\mathbf{= 14 - 4(3x) + 4(1) + 2x}}\\\\\large\boxed{\mathbf{= 14 - 12x + 4 + 2x}}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\boxed{= \mathbf{(14 - 4) - (12x + 2x)}}\\\\\large\boxed{= \mathbf{14 - 4 - 12x + 2x}}\\\\\large\boxed{= \mathbf{-12x + 2x + 14 - 4}}\\\\\large\boxed{\mathbf{-10x + 10}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-10x + 10}}}\huge\checkmark$