Question

Solve and graph the solution for this inequality.7n+1>1697n+1>169Need Help? Solving Two-Step Inequalities(4 points)Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.Step 1.Step 2.Step 3.Step 4.Subtract 1 from both sides of the inequality.Add 7 to both sides of the inequality.Multiply both sides of the inequality by 7 and change the inequality from greater than to less than.Divide both sides of the inequality by 7 and change the inequality from greater than to less than.Divide both sides of the inequality by 7.Draw an open circle on the solution.Draw a closed circle on the solution.Shade left to show the solution set.Shade right to show the solution set.Multiply both sides of the inequality by 7.Add 1 to both sides of the inequality.

Answer 1

Step 1:
7n + 1 > 16
Subtract 1 from both sides of the inequality.
7n > 16 - 1
7n > 15

Step 2:
7n > 15
Add 7 to both sides of the inequality.
7n + 7 > 15 + 7
7n + 7 > 22

Step 3:
7n + 7 > 22
Multiply both sides of the inequality by 7 and change the inequality from greater than to less than.
7n < 22 * 7
7n < 154

Step 4:
7n < 154
Divide both sides of the inequality by 7.
n < 154 / 7
n < 22

Now we can graph the solution set.

Draw a closed circle on the solution. Select "Draw a closed circle on the solution set."
Shade left to show the solution set. Select "Shade left to show the solution set."

This means that the solution to the inequality is n < 22. The solution set is all real numbers less than 22.