Answer:
-2 < w ≤ 6
Step-by-step explanation:
The inequalities you're asked to combine are ...
-2 < w
6 ≥ w
Turn one of these around so the "arrows" point in the same direction. (My preference is that they point to the left.) Now you have ...
-2 < w
w ≤ 6
You combine these by putting w in the middle:
-2 < w ≤ 6
_____
<em>Alternate solution</em>
I like the above solution because it puts the components of the expression in the same (left-right) order as they appear on a number line. However, both inequalities can be turned around to get ...
6 ≥ w > -2
Step-by-step explanation:
1st
8x-59 + 2x-11 = 180
10x -70 = 180
10x = 180 + 70
10x = 250
x = 25
2nd
8x - 59 = 15y + 6
8(25) -59 = 15y + 6
200 -59 = 15y + 6
141 = 15y + 6
15y + 6 = 141
15y = 141 - 6
15y = 135
y = 135/15
y = 9
Answer47.3%
Step-by-step explanation: