Find the integer values of x that satisfy the inequality.

The question requires finding the integer values of that satisfy the inequality from the previous part of the question.The solution to the inequality provides a range of values for . We must identify all the integers (whole numbers) that fall within this specific range.The integers that satisfy the inequality are -1, 0, 1, 2, and 3.

1. At midnight the temperature in Newtown was .At noon the next day the temperature in Newtown was .Work out the rise in temperature from midnight to noon.

Marking Scheme Analysis: According to the marking scheme, the correct answer for question 1 is 17. A single mark is awarded for this correct answer. Step-by-Step Solution: The question asks to work out the rise in temperature from midnight to noon. The specific temperatures are not provided in the prompt, but we can deduce the method from the answer. A temperature rise of 17 degrees typically involves moving from a negative temperature to a positive one. Let's assume the temperature at midnight was and the temperature at noon was . (Note: Other pairs of numbers could also yield a difference of 17, e.g., -9 and 8, or -7 and 10). Step 1: Identify the initial and final temperatures. Initial temperature (at midnight) = Final temperature (at noon) = Step 2: Calculate the rise in temperature. The rise is the difference between the final temperature and the initial temperature. Rise = Final Temperature - Initial Temperature Step 3: Substitute the values and calculate. Rise = Subtracting a negative number is equivalent to adding its positive counterpart. Rise = Rise = So, the rise in temperature from midnight to noon is 17 degrees.

2. The temperature in Berlin is and the temperature in Istanbul is .(a) Write down how many degrees colder it is in Berlin than it is in Istanbul.(b) Sydney is 23 degrees warmer than Berlin.Write down the temperature in Sydney.

Part (a)We are given the temperature in Berlin is -5°C and the temperature in Istanbul is 3°C.To find how many degrees colder it is in Berlin than in Istanbul, we need to find the difference between the two temperatures.Difference = Temperature in Istanbul - Temperature in BerlinDifference = 3 - (-5)Subtracting a negative number is the same as adding its positive counterpart.Difference = 3 + 5 = 8So, it is 8 degrees colder in Berlin than in Istanbul.Part (b)We are given that Sydney is 23 degrees warmer than Berlin.The temperature in Berlin is -5°C.'Warmer' means we need to add to the temperature.Temperature in Sydney = Temperature in Berlin + 23Temperature in Sydney = -5 + 23Temperature in Sydney = 18So, the temperature in Sydney is 18°C.

1. Write down the temperature which is below .

Marking Scheme Analysis: The marking scheme for Question 1 indicates that the correct answer is -7. The question is worth 1 mark. There are no part marks, meaning the single mark is awarded for the final, correct answer. Step-by-step Solution: Step 1: The question asks to find the temperature that is 7°C below 0°C. Step 2: Temperatures "below 0°C" are represented by negative numbers on the Celsius scale. Step 3: To find a temperature 7 degrees below 0, we perform the subtraction: . Step 4: The result of the calculation is . Therefore, the temperature is -7°C.

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IGCSE (CAMBRIDGE)|9th and 10th|Extended Maths (0580)

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