Answer:
d > -8/7
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