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anyanavicka [17]
3 years ago
5

How to graph inequalities

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0

Step-by-step explanation:

First solve for y

given equation is 3x-2y ≥ 12

subtract 3x on both sides of the equation which would result with: -2y ≥ 12-3x

divide by -2 on both sides of the equation, flip the sign to ≤ because you are dividing by a negative, then you should get the result y<u> </u><u>≤</u><u> </u>-6 + 3x/2 (should look like a fraction)

y-intercept is at -6

slope is 3/2 (or three halves)

start at -6 on the y-axis, go up 3 across 2 and plot your point, keep repeating when going up and down the graph

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Answer:

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Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

-\dfrac{3}{8}

2nd fraction is negative one-fourth

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-\dfrac{1}{4}

We have to find the quotient when 1st fraction is divided by 2nd fraction.

<u>Definition</u> of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}

\div is converted to \times and the 2nd fraction is reversed i.e.

if the fraction is \frac{p}{q} it becomes \frac{q}{p} and the sign \div is changed to \times.

Solving above:

-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}

So, the quotient is \frac{3}{2}.

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