The equation y = |x-3| + |x+2| - |x-5| is an absolute value equation
The equivalent equation of y = |x-3| + |x+2| - |x-5| if -2 < x < 3 is y = x
<h3>How to rewrite the
absolute value equation?</h3>
The equation is given as:
y = |x-3| + |x+2| - |x-5|
The condition is given as:
if -2 < x < 3
Split and solve each term of the absolute value equation.
|x-3| = -(x - 3) = 3 - x....... because x < 3
|x+2| = x + 2 because -2 < x
|x-5| = -(x - 5) = 5 - x....... because x < 5
So, we have:
y = |x-3| + |x+2| - |x-5|
This gives
y = (3 - x) + (x + 2) - (5 - x)
Open the brackets
y = 3 - x + x + 2 - 5 + x
Evaluate the like terms
y = x
Hence, the equivalent equation of y = |x-3| + |x+2| - |x-5| if -2 < x < 3 is y = x
Read more about absolute value equations at:
brainly.com/question/12344256
Answer:
The equation is 8x+7=112
Step-by-step explanation:
the answer is 13.125
this is what i got. i am sorry if it is wrong.
In 0.75 hour,
Renaldo roll 9.7 x 0.75 = 7.275 miles
Eliza roll 8.2 x 0.75=6.15 miles
--> Renaldo roll 7.275-6.15=1.125 miles farther than E
Answer:
I'm pretty sure it's 87.96. Hope this helps!
Step-by-step explanation: