Question

PLEASE HELP. FIRST CORRECT ANSWER WILL GET BRAINLIEST AND 20 POINTS PLEASE HELP! I AM DESPERATE, AND NEED TO FINISH IN 30 MINUTES Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5

Answer 1

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5) now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Answer 2

Answer:

1

Step-by-step explanation:

If z < 5, then both |z-6| and |z-5| gets negative value, so:

• |z-6 | -  |z-5| =
• -(z-6) - (- (z-5) ) =
• - z+ 6 + z -5 =
• 1

Answer is: 1