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abruzzese [7]
2 years ago
12

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

Mathematics
1 answer:
Cloud [144]2 years ago
6 0

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.

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