Question

Solve this inequality
-3x-1> 11

Answer 1

Should the point be open or closed

Answer 2

where is the shading
left or right

Answer 3

To solve the inequality -3x - 1 > 11, we need to isolate the variable x.

First, we can begin by adding 1 to both sides of the inequality:

-3x - 1 + 1 > 11 + 1

Simplifying the equation, we get:

-3x > 12

Next, we divide both sides of the inequality by -3. Since we are dividing by a negative number, the inequality sign will need to be flipped:

-3x/-3 < 12/-3

Simplifying the equation:

x < -4

Therefore, the solution to the inequality -3x - 1 > 11 is x < -4.

Answer 4

The point should be open in this case because the inequality is strictly less than, indicated by the "<" symbol.

Answer 5

The shading is to the left of the point -4 on the number line. Since the solution is x < -4, any value less than -4 satisfies the inequality.