Question

Which number line shows the solution of -4x+ 6> 18?

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.

$x$

$x$

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.