Solve the inequality. graph the solution. −14(d+1)< 2

d > -8/7

Step-by-step explanation:

Distribute the -14 to the terms the expand the left side of the inequality

-14(d + 1) = -14(d) + (-14(1)) = -14d - 14 < 2

Now, add 14 to both sides to get variables on one side and constants on the other. And simplify

-14d < 2 + 14

-14d < 16

Next, divide both sides by -14 to isolate your variable d. In doing so, you must flip the inequality. It's a less than sign now; when you divide, it must become a greater than. Simplify your fraction.

(-14d / -14) < (16 / -14)

d > -16/14

d > -8/7, you'd most likely graph your solution on a number line with an open circle at -8/7 or -1 and 1/7 and an arrow pointing towards the positive numbers.

To check your answer, plug it back into the left side of the inequality. It should equal 2

-14(-8/7 + 1)

112/7 - 14

16 - 14

2

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.