1-8y +y > 32y – 1.6

Now we can put the y terms on the left and the constants on the right, combining them to get:

-39y > -2.6

Let’s divide by -39, keep in mind this changes the inequality’s direction:

y< 2.6/39 2.6/39 should be simplified first to 26/390, then reduced to 1/15 final answer: y< 1/15, or y < 0.06666. . . .

(2*0.5) + (2*-4y) + y > (4y*8) + (-0.2*8) — then do the operation indicated

1 – 8y + y > 32y – 1.6 —- combine like terms

1-7y > 32y – 1.6 — transpose like terms to the other side

1 + 1.6 > 32 y + 7y

0.066667 > y — or

y < 0.06667 this means that "y" CAN be ANY number below 0.06 (or 0.07 if rounded of to nearest hundreths) for example, if y = 0.05 (since 0.05 is less than 0.06) 2 [0.5 - 4(0.05)] + 0.05 > [4(0.05] – 0.2]8

1 – 0.4 + 0.05 > (0.2 – 0.2) 8

0.65 > ( 0 ) 8

0.65 > 0

for example if y = 0.02 ( since 0.02 is less than 0.06)

2 [ 0.5 – 4(0.02)] + 0.02 > [4(0.02) – 0.2] 8

2 ( 0.5 – 0.08) + 0.02 > (0.08 – 0.2) 8

2(0.42) + 0.02 > (-0.12) 8

0.84 + 0.02 > -0.96

0.86 > -0.96

>>> hope u understand all of it.

peace~ 🙂

1 – 8y + y > 32y – 1.6

therefore

(1-7y) > (32y-1.6)

2.6 > 39y

0.066 > y

1-8y+y>32y-1.6

2.6>39y

0.066666666 ……..>y

1-7y>32y-1.6

2.6>39y

2.6/39>y

2/30>y

1/15>y