Final answer:
Upon simplifying the given expressions, it becomes clear that expression (a) ∧(27-3-∧-4∧)=51 does not simplify to a true statement, whereas the other expressions do; therefore, expression (a) is not equal to the other three.
Step-by-step explanation:
To determine which expression is not equal to the other three, we can evaluate each expression individually:
a. |-27-3|-4 = |-30|-4 = 30-4 = 26
b. 15-1-51 = 14-51 = -37
c. |-17+31| = |14| = 14
d. 1-101 = -100
From the above evaluations, we can see that expression b. is not equal to the other three expressions.
The student is asking which algebraic expression is not equal to the others. To find out, we need to simplify each expression.
- Expression (a): ∧(27-3-∧-4∧)=51, resolves to 24 = 51, which is false.
- Expression (b): 15-1-51=-37, resolves to -37 = -37, which is true.
- Expression (c): ∧(-17+31)∧=14, resolves to 14 = 14, which is true.
- Expression (d): 1-101=-100, resolves to -100 = -100, which is true.
Comparing these resolved expressions, we can see that expression (a) is the one that does not equal the others.