Sets A and I are defined as follows. A = { − 1 , 0 , 1 , 2 , 4 , 6 , 7 } I = { − 2 , − 1 , 1 , 2 , 8 } Find the intersection of A and I

Step-by-step explanation:

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Explanation:

Start with set A and circle any value that you find in set I. Those values are  -1, 1, and 2. These elements are found in both sets at the same time, hence they are in the intersection of set A and set I

Refer to the Venn diagram below. We have the values -1, 1, and 2 in the blue overlapped region. A value like 4 is only found in set A, so it's inside circle A, but outside circle I. On the flip side, a value like 8 is found outside of circle A but inside circle I.

The use of curly braces in the answer tells the reader we're dealing with a set of values. The order doesn't matter for any given set. Often it's helpful to put it in order from smallest to largest.

1/800 is the right answer

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15