Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
Answer:
x= 0
Step-by-step explanation:
Here in this question, we are given a linear equation of single variable x, and we have to solve the equation for x.
The given equation is 9x -7= -7 ....... (1)
Now, taking all the constant terms to the right side of the equation and all the x terms to the left side of the equation.
Hence, the equation becomes
9x = -7 +7
⇒ 9x =0 {Since, -7 and 7 cancels each other}
⇒ x= 0/9= 0 (Answer) {Since zero divided by any number is equal to zero}
Answer:
25 sodas if the type of soda chosen is cherry sodas
Answer:5
Step-by-step explanation:
y2-y1/x2-x1
12-2/5-3
10/2
=5
