Solve the inequality and graph the solution.

Question

−3p + 6.7 > −4.4

number line with open circle plotted at 3.7 and arrow pointing right
number line with closed circle plotted at 3.7 and arrow pointing left
number line with open circle plotted at 3.7 and arrow pointing left
number line with closed circle plotted at 3.7 and arrow pointing right

Answer 1

To solve the inequality, we need to isolate the variable p.

Starting with −3p + 6.7 > −4.4, we can begin by subtracting 6.7 from both sides:

−3p > −11.1

Next, we divide both sides of the inequality by -3. Since we are dividing by a negative number, the direction of the inequality sign should be flipped.

p < −11.1 / −3

p < 3.7

Now, we can graph the solution on a number line. Since the inequality is "less than," we use an open circle to represent the value of 3.7, and draw an arrow pointing to the left to indicate that the solution includes all values less than 3.7.

Therefore, the correct answer is: number line with open circle plotted at 3.7 and arrow pointing left.