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.
Solve this inequality
-3x-1> 11
5 answers
Should the point be open or closed
The point should be open in this case because the inequality is strictly less than, indicated by the "<" symbol.
where is the shading
left or right
left or right
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.