inequalities and graph the solution set

Question

solve and graph the solution set

 

-2(d+5)<less than equal to-1(d+7) please help me to solve and graph on the graph line

Answer 1

use the distributive property on both sides of the equation

 

-2d - 10 < -d - 7

 

Add 2d to both sides

 

-10 < d - 7

 

Add 7 to both sides

 

-3 < d

 

or d > -3

 

<-------------------------|--------------------------->

 

                                 -3

 

Everything to the right of -3 should be shaded. On your number line you can draw a circle at the point -3 and fill it in completely since this inequality includes "equals to"