1. If the absolute value of x is 5, what is the value of x?(1 point)
The value of x can be either 5 or -5.
The integer -20 would BEST represent which of these events?
I. You remove 20 lbs of peaches from a pile.
II. You fill a tub with 20 gallons of water.
III. You withdraw $20 from a bank account.
III. You withdraw $20 from a bank account.
The integer -20 would BEST represent which of these events?
I. You remove 20 lbs of peaches from a pile.
II. You fill a tub with 20 gallons of water.
III. You withdraw $20 from a bank account.
I and III
II and III
I only
II only
I only
If the absolute value of x is 5, that means the distance of x from 0 on a number line is 5. Since absolute value only gives the distance and not the direction, there are two possible values for x: 5 and -5. So, the value of x can be either 5 or -5.
To find the value of x when the absolute value of x is 5, we need to consider two possible cases:
1. When x is positive: In this case, the absolute value of x is equal to x itself. So, if the absolute value of x is 5, then x = 5.
2. When x is negative: In this case, the absolute value of x is equal to the negative of x. So, if the absolute value of x is 5, then -x = 5. Multiplying both sides of the equation by -1, we get x = -5.
So, there are two possible values for x: x = 5 and x = -5.