The statements that are true are
- The sum of A and C is negative
- A + D = B
- The quotient of D and B is -10/3
- The product of A and B > the product of A and C
Number line
From the question, we are to determine the statements that are true
In the given number line,
A = -2 1/6
B = - 1/2
C = 1/3
D = 1 2/3
B - C = -1/2 - 1/3
B - C = -5/6
∴ B - C ≠ 1/6
- The sum of A and C is negative
A + C = -2 1/6 + 1/3
A + C = -1 5/6
∴ The sum of A and C is negative
A + D = -2 1/6 + 1 2/3
A + D = -1/2
B = -1/2
∴ A + D = B
1 2/3 ÷ - 1/2 = -10/3
∴ The quotient of D and B is -10/3
A×B = -2 1/6 × -1/2
A×B = 13/12
Product of A and C
A×C = -2 1/6 × 1/3
A×C = -13/18
∴ The product of A and B > the product of A and C
|B| = 1/2
|C| = 1/3
|B| > |C|
|B| is NOT less than |C|
Hence, the statements that are true are
- The sum of A and C is negative
- A + D = B
- The quotient of D and B is -10/3
- The product of A and B > the product of A and C
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