Question

Solve for g: g - 0.6 < 3.172. ,part c: in one paragraph explain ur work in parts a and b

Answer 1

Step-by-step explanation

`g-0.6\leq3.172`

Step 1

To solve the inequality means to find a range, or ranges, of values that an unknown g can take and still satisfy the inequality.

so

`\begin{gathered} g-0.6\leq3.172 \\ \text{add 0.6 in both sides} \\ g-0.6+0.6\leq3.172+0.6 \\ g\leq3.772 \end{gathered}`

it means the solution is the set of values equal or smaller than 3.772,so

Part A:

`g\leq3.772`

Step 2

Part B:the graph of the inequality looks like a marked line in the number line, from3.772 to negative infinite, as the symbol is smaller or equal, the number3.772 is part of the set , so we use a filled circle

Step 3

in step 1 we used the addition property of inequality to isolate x, then in step 2 we draw the set solution .

I hope this helps you