Select ALL sets of numbers that are possible values for x in the inequality, x > -5. { -4 , 2 , 4 } { -6 , -7 , 4 } { 5 , 0 , -4 } { -5 , -12 , -8 }

Step-by-step explanation:

Integer: An integer is any whole number. This includes positive whole numbers (like 1, 2 and 3), negative whole numbers (like -1, -2 and -3), and zero (0).

Positive Integer: A positive integer is any whole number greater than 0 (like 1, 2, 3 and so on).

Negative Integer: A negative integer is any whole number less than 0 (like -1, -2, -3 and so on). Negative integers are preceded by the symbol "-" so that they can be distinguished from positive integers

X: X is the symbol we use as a variable, or placeholder for our solution. In the case of inequalities, X usually represents a series of numbers rather than a single number

<: This symbol means "less than" and is used to indicate that the number to its left (the pointy side) is less than the number to its right (the open side).

>: This symbol means "greater than" and is used to indicate that the number to its left (the open side) is greater than the number to its right (the pointy side).

≤: This symbol means "less than or equal to" and is used to indicate that the number to its left (the pointy side) is less than or equal to the number to its right (the open side).

≥: This symbol means "greater than or equal to" and is used to indicate that the number to its left (the open side) is greater than or equal to the number to its right (the pointy side).

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )