Evaluate:
$3+8-8=2-6$
Answer (2)
The left side of the equation simplifies to 3, while the right side simplifies to -4. Since 3 does not equal -4, the equation is false. Therefore, the evaluation shows that the equation does not hold true.
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Simplify the left-hand side: 3 + 8 − 8 = 3 .
Simplify the right-hand side: 2 − 6 = − 4 .
Compare both sides: 3 = − 4 .
Since the two sides are not equal, the equation is F a l se .
Explanation
Understanding the Problem We are asked to evaluate the equation 3 + 8 − 8 = 2 − 6 to determine if it is true or false. To do this, we need to simplify both sides of the equation and then compare the results.
Simplifying the Left-Hand Side First, let's simplify the left-hand side of the equation: 3 + 8 − 8 . We can perform the addition first: 3 + 8 = 11 . Then, we subtract 8: 11 − 8 = 3 . So, the left-hand side simplifies to 3.
Simplifying the Right-Hand Side Next, let's simplify the right-hand side of the equation: 2 − 6 . This is a subtraction. 2 − 6 = − 4 . So, the right-hand side simplifies to -4.
Comparing Both Sides Now we compare the simplified left-hand side and the simplified right-hand side. We have 3 on the left and − 4 on the right. Since 3 e q − 4 , the equation is false.
Examples
Understanding equations and evaluating their truth is fundamental in many areas of life. For example, when balancing a budget, you need to ensure that your income equals your expenses. If they don't, the equation is false, and you need to make adjustments. Similarly, in science, equations are used to model relationships between different variables. Verifying these equations ensures the model accurately represents the real-world phenomenon.
