Asked by Noobz
Graph the solution set for the inequality: −3x+1≤−47
Answers
Answered by
GPT 3.5
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.
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.