Answer:
-2<x<8
see below for graph
Step-by-step explanation:
First, we need to solve the inequality.
Inequality: |x-3|<5
Split into two equations:
x-3<5
x-3>-5 (notice how the sign is flipped when we make the number negative)
let's start with x-3<5
add 3 to both sides
x<8
now
x-3>-5
add 3 to both sides
x>-2
The graph is below
the intersection is the solution.
Notice how I made the maroon line go to the right- which shows that it's greater than (for x>-2) and the silver line go to the left, which shows that it's less than (for x<8)
the equation is -2<x<8
Hope this helps!
Answer:
<em>- 1/2 (or - 0.5) </em>
Step-by-step explanation:
so first, simplify by combining like terms.
so 8w-6w = 2w
so now we have
2w - 8 = 4w - 7
now we have to get the w's to one side of the equation so we can solve for it. so that mean we have to subtract 2w from both sides. 2w - 2w is 0. and then 4w - 2w = 2w. so now we have
-8 = 2w - 7
then to slowly start isolating w, add 7 to both sides of th equation. so now its
-1 = 2w
finally to get w by itself divide 2 from both sides.
and the answer is
- = w
1^81, 9^2, 3^4. the others are rather to high or to low
You should get the app "photomath" that will help out alot!!!