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Naddik [55]
1 year ago
10

Explain the difference between an inequality with OR and an inequality with AND.

Mathematics
1 answer:
maksim [4K]1 year ago
4 0

Inequality with OR: We use OR when you have two or more cases that could or not happen at the same time, for example with inequalities when you have an OR you use the union of the sets given by the inequalities. for example if we have the following two inequalities

x\ge1\text{ or x}\leq0

it will represent the union of the set of numbers that are greater than one with the set of the numbers that are less than zero.

Inequality with AND: We use AND when you need that all the conditions holds at the same time (here is not accepted that only one holds) for example with inequalities when you have AND you need to use the intersection of the sets given by the inequalities. For example:

x\ge2\text{ AND x}\leq10

will represent the intersection of the set of number that are greater than two and less than ten AT THE SAME TIME

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sdas [7]

Answer:

x = 20

Step-by-step explanation:

Formula

x1/x2 = x3/x4

Givens

x = 11

x2 = 11 + 121 = 132

x3 = 10

x4 = 10 + 5x + 10

Solution

11/132 = 10 / (5x + 10 + 10)        Combine

11/132 = 10/(5x + 20)                Cross multiply

11*(5x + 20) = 132 * 10              Combine on the right.

11(5x + 20 ) = 1320                   Divide by 11. (You could remove the brackets, but this is easier.

11(5x + 20)/11 = 1320/11            Do the division

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5x + 20-20 = 120 - 20             Combine

5x = 100                                   Divide by 5

5x/5 = 100/5

x = 20

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