Question

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

Answer 1

Consider the below figure attached with this question.

Given:

`-4x+6>18`

To find:

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

Solution:

We have,

`-4x+6>18`

Subtracting 6 from both sides, we get

`-4x>18-6`

`-4x>12`

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

Divide both sides by -4.

`x<(12)/(-4)`

`x<-3`

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.