Respuesta :

Answer:

D

Step-by-step explanation:

First, simplify the equation.

-3x+1<7

-3x<6

x>-2 (the sign flips because you are dividing by negative)

> means x is greater than -2 so the line will go towards the right.

Because the sign is >, the dot is open.

The number line C shows all the values for the inequality -3x + 1 < 7.

What is an inequality?

'In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal.'

According to the given problem,

Given inequality = -3x + 1 < 7

                           ⇒ -3x < 7 - 1

                           ⇒ -3x < 6

                           ⇒ -x < 2

                           ⇒ x > -2

Interval notation of the values of x = ( -2 , ∝ )

Number line C graphs all the values of x, which is greater than -2 and extends up to infinity.

Hence, we can conclude number line C shows all the values of x in the interval (-2 , ∝).

Learn more about inequalities here: https://brainly.com/question/15137133

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