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Vikentia [17]
2 years ago
7

PLZ HELP

Mathematics
1 answer:
Scrat [10]2 years ago
7 0

Answer: Ix - 950°C I ≤ 250°.

Step-by-step explanation:

Ok, the limits are:

700°C to 1200°C.

The first step is to find the mean these numbers:

M = (700°C + 1200°C)/2 = 950°C

Now let's find the distance between the mean and the limits (which is equal to half the difference between our numbers)

D = (1200°C - 700°C)/2 = 250°C.

Now we can write our relation as:

Ix - MI ≤ D

Ix - 950°C I ≤ 250°.

if x = 1200°C.

I1200°C - 950°CI = 250°C ≤ 250°C ---- true.

if x = 700°C

I700°C - 950°CI = I-250°CI = 250°C ≤ 250°C ---- true

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we know that

If a ordered pair is a solution of the inequality, then the ordered pair must  satisfy the inequality

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y-2x \leq -3

Verify each case

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(1,-1)

substitute the value of x and the value of y in the inequality and then compare the results

-1-2(1) \leq -3

-3 \leq -3 ----> is true

therefore

The ordered pair is a solution of the inequality

case 2) we have

(7,12)

substitute the value of x and the value of y in the inequality and then compare the results

12-2(7) \leq -3

-12 \leq -3 ----> is true

therefore

The ordered pair is a solution of the inequality

case 3) we have

(-6,-3)

substitute the value of x and the value of y in the inequality and then compare the results

-3-2(-6) \leq -3

9 \leq -3 ----> is not true

therefore

The ordered pair is not a solution of the inequality

case 4) we have

(0,-2)

substitute the value of x and the value of y in the inequality and then compare the results

-2-2(0) \leq -3

-2 \leq -3 ----> is not true

therefore

The ordered pair is not a solution of the inequality

case 5) we have

(5,-3)

substitute the value of x and the value of y in the inequality and then compare the results

-3-2(5) \leq -3

-13 \leq -3 ----> is true

therefore

The ordered pair is a solution of the inequality

6 0
3 years ago
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