The temperature of a city was -4°C on Monday and then it dropped by 5°C on Tuesday. If it rose by 4°C on Wednesday, what was the temperature on Wednesday? 4. Verify that the given statements are false. Give reasons. (a) (14 - 15) + 6 = 14 - (15 + 6) (b) 23 - (9 - 12) = (23 - 9) - 12

Let's break down each part of the question step-by-step.

Temperature Calculation:
On Monday, the temperature was − 4 ∘ C . On Tuesday, the temperature dropped by 5 ∘ C , so it becomes:
− 4 − 5 = − 9 ∘ C
On Wednesday, the temperature rose by 4 ∘ C , so it becomes:
− 9 + 4 = − 5 ∘ C
Thus, the temperature on Wednesday was − 5 ∘ C .

Verification of Statements:
a) Statement: ( 14 − 15 ) + 6 = 14 − ( 15 + 6 )
Let's evaluate both sides:

Left Side:
( 14 − 15 ) + 6 = − 1 + 6 = 5

Right Side:
14 − ( 15 + 6 ) = 14 − 21 = − 7


Since 5  = − 7 , the statement is false.
b) Statement: 23 − ( 9 − 12 ) = ( 23 − 9 ) − 12
Let's evaluate both sides:

Left Side:
23 − ( 9 − 12 ) = 23 − ( − 3 ) = 23 + 3 = 26

Right Side:
( 23 − 9 ) − 12 = 14 − 12 = 2


Since 26  = 2 , the statement is false.


In conclusion, both given mathematical statements are false.

Answered by EmmaGraceJohnson | 2025-07-21