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2 years ago

State all integer values of x in the interval (-2,5) that satisfy the following

Mathematics

1 answer:

dimaraw [331]2 years ago

5 0

Answer:

The only value in the interval (-2, 5) which satisfies the inequality is:

x = -1

Step-by-step explanation:

Given the inequality

-4x – 1 > 1

interval = (-2,5)

The integer values lie in the interval (-2, 5) = -1, 0, 1, 2, 3, 4

Let us substitute all the integer values lie in the interval

substitute x = -1

-4x – 1 > 1

-4(-1) - 1 > 1

4 - 1 > 1

3 > 1

TRUE

substitute x = 0

-4x – 1 > 1

-4(0) - 1 > 1

0 - 1 > 1

-1 > 1

FALSE

substitute x = 1

-4x – 1 > 1

-4(1) - 1 > 1

-4 - 1 > 1

-5 > 1

FALSE

substitute x = 2

-4x – 1 > 1

-4(2) - 1 > 1

-8 - 1 > 1

-7 > 1

FALSE

substitute x = 3

-4x – 1 > 1

-4(3) - 1 > 1

-12 - 1 > 1

-13 > 1

FALSE

substitute x = 4

-4x – 1 > 1

-4(4) - 1 > 1

-16 - 1 > 1

-17 > 1

FALSE

Therefore, the only value in the interval (-2, 5) which satisfies the inequality is:

x = -1

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The hardware store where you work charge 80 cents including tax, for a pound of nails. A customer purchases 5 3/4 pound of nails

Sophie [7]

Answer:

$4.60

Step-by-step explanation:

1 lb ---> 80 cents

5 3/4 lb ---> 5 3/4 * 80 cents

$5 \dfrac{3}{4} \times 80 =$

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$= \dfrac{23 \times 80}{4 \times 1}$

$= \dfrac{1840}{4}$

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460 cents = $4.60

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2 years ago

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disa [49]

Answer:

Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction

Step-by-step explanation:

I got it right :)

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2 years ago

Answer this and ill give brainliest

nekit [7.7K]

Answer:

-4.65< -4 and 2/5

Step-by-step explanation:

To solve, this we can convert the fraction -4 and 2/5 into a decimal so that the values can be more easily compared. When we do this, we get the result that -4 and 2/5 equals -4.4. Now we can clearly see which value is greater because they are written in the same form:

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2 years ago

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ASAP PLZ!!!

lyudmila [28]

The solution has to be a value of x. Since you already have x, you just have to plug in the value and see what fits. In this case thats the third from the top:

5^2 - 10*5 + 25 = 0

25 - 50 + 25 = 0

0 = 0

Hope it helps!

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3 years ago

I need help please.

makkiz [27]

Answer:

see explanation

Step-by-step explanation:

Using the rules of radicals/ exponents