The solution set of | x - 1 | ≤ 2 is -1 ≤ x ≤ 3, as required.
A connection between two expressions or values that is not equal to each other is referred to as "inequality" in mathematics. The inequality can be resolved by adding the same amount to each side, subtracting the same amount from each side, multiplying or dividing each side by the same positive integer, and more. If you multiply or divide either side by a negative value, you must flip the inequality sign.
To write the absolute value inequality in the form x−b ≤c or x−b ≥c, we need to identify the midpoint between the lower and upper bounds of the solution set.
The midpoint is (3 - 1)/2 = 1.
Then, we can write the absolute value inequality as:
| x - 1 | ≤ 2
To verify that this inequality has the solution set -1 ≤ x ≤ 3, we can solve it as follows:
If x - 1 ≥ 0, then | x - 1 | = x - 1, and we have:
x - 1 ≤ 2
x ≤ 3
If x - 1 < 0, then | x - 1 | = - (x - 1), and we have:
(x - 1) ≤ 2
x - 1 ≥ -2
x ≥ -1
Therefore, | x - 1 | ≤ 2.
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Answer:
|x-1| < 2
Step-by-step explanation:
The prior explanation is correct! THANK YOU!!!!!!
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Answer:
Step-by-step explanation:
because you go with you first answer bc its going to be right
Answer:
30%
Step-by-step explanation:
30% plus 70% = 100%, so the answer is 30%
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction, StartFraction p Over 6 EndFraction.
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answer: A, D, E, F, G
Step-by-step explanation:
If the letters didn't make sense, the answers are:
A: The operation is a division
D: 342 divided by 6 equals 57.
E: Write the division expression as a fraction, p/6
F: To evaluate substitute 342 for the variable.
G: Each bag will have 57 penuts.
The question is just asking for a basic understanding of word problems and which part is called what.