Explain the difference between an inequality with OR and an inequality with AND.
1 answer:
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
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:
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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The complete question in the attached figures N 1 and N 2
we have that
<span>the following system of inequalities:
y ≥ −3x + 1
y ≤ (1/2)x + 3
using a graph tool
see the attached figure N 3
the answer is the option
</span><span>B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.</span>
we have that
<span>the following system of inequalities:
y ≥ −3x + 1
y ≤ (1/2)x + 3
using a graph tool
see the attached figure N 3
the answer is the option
</span><span>B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.</span>