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