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sweet [91]
3 years ago
14

Write an inequality using absolute value if the answer is given double inequality:

Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

Answer: 67 ≤ x ≤ 73 Step-by-step explanation: Given inequality is: |x − 70| ≤ 3 We have to find the value of x. If |x| ≤ a then x ≤ a and x ≥ -a . Applying this rule to given inequality,we get x - 70 ≤ 3 and x - 70 ≥ -3 Adding 70 to both sides of above both inequality,we get x-70+70 ≤ 3+70 and x-70+70 ≥ -3+70 Adding like terms,we get x ≤ 73 and x ≥ 67 Combining above two inequalities ,we get 67 ≤ x ≤ 73 which is the answer.

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4282353-what-are-the-solutions-to-the-absolute-value-inequality-x-70-3.html

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The correct first step to solving the system of equations in the most efficient manner is x = -4y +19.

The given system of equations is;

\rm 3 x + 2 y = 17\\\\x + 4 y = 19

<h2>What is the first step to solving an equation?</h2>

The first step would be to rearrange the variables in the second equation so we have a defined expression for x.

We would want to do this so we could then plug in the defined expression for x into the other equation and solve for the other variable.

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We can get 4y on the other side by subtracting 4y from both sides

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