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

Answer 1

To graph the solution set for the inequality -3x + 1 ≤ -47, we first need to solve the inequality for x.

Subtracting 1 from both sides of the inequality, we have:
-3x ≤ -48

Next, divide both sides of the inequality by -3. Remember that when dividing or multiplying by a negative number, we need to flip the direction of the inequality.
x ≥ -48/-3

Simplifying, we get:
x ≥ 16

So the solution set for the inequality is all x values greater than or equal to 16.

To graph this on a number line, we put an open circle or a parenthesis at 16 to indicate that 16 is not included in the solution set, and we shade everything to the right of 16 to show that the solution set includes all values greater than 16.

The graph would look something like this:

---------o----------------> (with a solid line)