Question

-7d + 8 > 29 Find the inequalitie for d show work please Thank you

Answer 1

The inequality for d is: d < -3

Solution:

Given inequality is:

$-7d + 8> 29$

We have to solve the inequality

From given,

$-7d + 8> 29$

$\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\\\-7d+8-8>29-8\\\\\mathrm{Simplify}\\\\-7d>21\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

When we multiply or divide the both sides of inequality by negative number, we have to flip the inequality sign

$\left(-7d\right)\left(-1\right)$

Therefore,

$-7d+8>29\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:d$