To graph the solution set for the inequality -3x + 1 < -47, we need to solve the inequality and plot the solution on a number line.
First, let's solve the inequality:
-3x + 1 < -47
Subtract 1 from both sides:
-3x < -48
Divide both sides by -3, remembering to reverse the inequality sign because we are dividing by a negative number:
x > 16
The solution set is all values of x that are greater than 16. We will represent this on a number line by shading to the right of 16.
Graph the solution set for the inequality: -3x + 1 < -47
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