Describe the error in the work shown below.

1 answer:

6 0

The answer is 18+30= 6(3+5) when you distribute the given one 18+30= 6(3+10) which was wrong, you get 18+60 so u need to replace the 10 with something that will equal 30 when multiplied; which is 5.

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If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.

kotegsom [21]

Answer: $(-9, 16]$

This is the interval from -9 to 16. Exclude -9 but include 16.

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Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

$-2 < x \le 3$

$5(-2) < 5x \le 5(3)$

$-10 < 5x \le 15$

$-10+1 < 5x+1 \le 15+1$

$-9 < 5x+1 \le 16$

This converts to the interval notation $(-9, 16]$

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

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