Write a compound inequality to represent all of the numbers between -4 and 6.

Mathematics

1 answer:

11111nata11111 [884]3 years ago

8 0

Answer:

-4 ≤ x ≤ 6

Step-by-step explanation:

Firstly, let us have a random number between the two digits

We can call this random number x

So now, we have to position x between these two numbers

So to ensure that the two numbers are in the range of our values, we have to use an equality statement that will cover both

So by using lesser than or equal to we can incorporate the two extremes

The inequality here is thus ;

-4 ≤ x ≤ 6

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Just make 1 3/4 an improper fraction and multiply by 4:

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3 years ago

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Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the

Bogdan [553]

Answer: After working for 33 $\frac{1}{3}$ hours a week

Step-by-step explanation:

Let us write equations to represent these two places. Let x be hours worked and y be money earned.

Tim Hortons:

$200 + $5x = y

McDonalds:

$300 + $2x = y

Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. See attached for the graph.

$200 + $5x > $300 + $2x

$5x > $100 + $2x

$3x > $100

x > $\frac{100}{3}$