Graph the solution set for the inequality: −3x+1≤−47

Answer 1

To graph the solution set for this inequality, we need to plot the points on the number line where -3x + 1 = -47.

First, we solve for x:

-3x + 1 ≤ -47

Subtract 1 from both sides:

-3x ≤ -48

Divide both sides by -3 (remembering to reverse the inequality):

x ≥ 16

So, the solution set for this inequality is x greater than or equal to 16. To graph this on the number line, we plot a closed circle at 16 (since it is greater than or equal to) and draw an arrow to the right (since x is greater than 16).

The number line should look like this:

---->-----------------------
-10 -5 0 5 10 15 20

The closed circle is at 16 and there is an arrow pointing to the right to show that x is greater than 16.