What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}?

Mathematics

1 answer:

tangare [24]3 years ago

8 0

Answer:

{6,7,8,9,10}

Step-by-step explanation:

Solve the inequality using inverse operations.

$3r\leq 4r-6\\3r-4r\leq -6\\-r\leq -6\\r\geq 6$

This solution means values equal to or larger than 6 from the set are solutions. This means 6, 7, 8, 9, and 10 are the solution set.

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The point A(–1, 4) is translated five units right and three units down. Which rule describes the translation?

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Answer: SECOND OPTION.

Step-by-step explanation:

Given the following point identified as "A":

$A(-1,4)$

You can identify that the x-coordinate of the point is:

$x=-1$

And its y-coordinate is:

$y=4$

According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.

Therefore, you can conclude that the rule that best describe the translation of the point $A(-1,4)$ is the following:

$(x,y)$ → $(x+5,y-3)$