Set a is a subset of set b, expressed as means that

You express that A is a subset of B with the following expression:

The meaning is that A is fully included inside B, which in turn means that every element of A is also an element of B, while the vice versa is not necessarily true.

For example, consider the sets

So, B is the set of numbers from 0 to 10, and A is the (sub)set of all even numbers between 0 and 10.

So, A is a subset of B, because every element in A is also an element in B, but there are elements in B (all the odd numbers) that are not in A.

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

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