Choose the correct solution and graph for the inequality "-x/3<=6"
1 answer:
Answer:
Step-by-step explanation:
To solve this inequality, we have to find x (or make x the subject of the inequality:
since ⁻ˣ/₃ ≤ 6 [multiply both sides by 3]
- x ≤ 18 [multiply both sides by -1; this flips the inequality sign]
<h3> x ≥ - 18 [this is the solution]</h3><h3 />To graph the inequality, draw the line x = - 18 with a solid line, and then shade the region that is x > -18.
We use a solid line because the point x = -18 is included. However, hypothetically, if the inequality was x > -18 only, a broken line would be used to show that the line x = -18 is not included.
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Answer:
Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula
where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem
substitute
simplify
Answer:
The least common denominator of the fractions is 24
Step-by-step explanation:
we know that
The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions
so
we have
7/8
Multiples of 8 -------> 8,16,24,32,...
5/6
Multiples of 6 -------> 6,12,18,24,...
24 is a common multiple of 6 and 8. It is their lowest common multiple
<em>Alternative Method</em>
we have
The least common multiple are those common and non-common numbers with the greatest exponent
so