expertzzzzzz expertzzzzzz
  • 08-10-2020
  • Mathematics
contestada

Which number line represents the solution to the inequality
1
+
2
x
<
−
7
?

Which number line represents the solution to the inequality 12xlt7 class=

Respuesta :

Аноним Аноним
  • 08-10-2020

Answer:

[tex]\boxed {x < -4}[/tex] (Choice D)

Step-by-step explanation:

You first need to solve the following inequality in order to get the actual answer and find the actual graph:

[tex]1 + 2x < -7[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]1 - 1 + 2x < -7 - 1[/tex]

[tex]2x < -8[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} < \frac{-8}{2}[/tex]

[tex]\boxed {x < -4}[/tex]

The number line graphed:

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