Answer:
B. [tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
First you need to get the least common denominator of the left
-7 3/4 and 1/2 the LCD is 4 so...
(1/1) 3/4 = 3/4 (This doesn't have to change since the denominator is already 4)
(2/2) 1/2 = 2/4
Let's make -7 3/4 into an improper fraction = -31/4
Let's make -2 1/4 into an improper fraction = -9/4
Plug back in
-31/4 - 2w + 2/4 [tex]\leq[/tex] -9/4 (collect like terms)
-29/4 - 2w [tex]\leq[/tex] -9/4 (add 29/4 on both sides)
-2w = 5 (divide by -2)
w = -5/2 or -2 1/2
Hope this helps!!
