Question

Solve the inequality. Graph the solution.

−14(d+1)<2

can you help me find the answer

Answer 1

`-14(d+1)<2\qquad\text{use distributive property}\\\\-14d-14<2\qquad\text{add 14 to both sides}\\\\-14d<16\qquad\text{change the signs}\\\\14d>-16\qquad\text{divide both sides by 14}\\\\d>-(16)/(14)\\\\d>-(8)/(7)`

Answer 2

d> -8/7

Explanation:

−14(d+1)<2

Distribute

-14d -14 <2

Add 14 to each side

-14d -14+14 <2+14

-14d < 16

Divide by -14 Remember to flip the inequality since we are dividing by a negative

-14d/-14 >16/-14

Divide the top and bottom by 2

d> -8/7