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Which number line shows the solution of -4x+ 6> 18?
9 10
B.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
2 3 4 5 6789 10
C.
-10 -9 -8 -7 -6 5 -4 -3-2 -1 0
6
8
g 10
OD.
10 -9 -8-7 -6-5 4-3 -2-1
5 67 89 10

Respuesta :

Consider the below figure attached with this question.

Given:

[tex]-4x+6>18[/tex]

To find:

The number of line that represents the solution of given inequality.

Solution:

We have,

[tex]-4x+6>18[/tex]

Subtracting 6 from both sides, we get

[tex]-4x>18-6[/tex]

[tex]-4x>12[/tex]

If an inequality is multiplied or divide by a negative number, then the sign of inequality must be change.

Divide both sides by -4.

[tex]x<\dfrac{12}{-4}[/tex]

[tex]x<-3[/tex]

The value of x is less than -3. It means number of the left of -3 are included in the solution set but -3 is not included in the solution set.

So, there is an open circle at x=-3 on the number and an arrow from -3  towards left.

Therefore, the correct option is A.

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