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The inequality ∣60∣≤∣−60∣ holds true. This is because the absolute value of both 60 and -60 is equal to 60.
The expression ∣60∣≤∣−60∣ can be evaluated by calculating the absolute values on both sides. The absolute value of 60 is 60, and the absolute value of -60 is also 60. So, ∣60∣=∣−60∣=60.
Since 60 is equal to 60, the inequality ∣60∣≤∣−60∣ is true. This inequality states that the absolute value of 60 is less than or equal to the absolute value of -60. In this case, since both absolute values are equal, the statement is true. The absolute value function essentially removes the negative sign from a negative number, making it positive, and in this case, the absolute values of 60 and -60 are indeed the same, resulting in a true inequality.
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Answer:
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Step-by-step explanation:
mod means positive...that's why both are equal 60=60
12(b+2)+3b=−1
Enter your answer as a fraction.
The solution to the equation 12(b+2) + 3b = -1 is b = -5/3.
Given the equation in the question:
12( b + 2 ) + 3b = -1
To solve the equation 12( b + 2 ) + 3b = -1, first apply the distributive property.
Distribute the 12 across the terms inside the parentheses:
12( b + 2 ) + 3b = -1
12×b + 12×2 + 3b = -1
Simplifying, we get:
12b + 24 + 3b = -1
Collect and combine the like terms on the left side of the equation:
12b + 3b + 24 = -1
15b + 24 = -1
Subtract 24 from both sides of the equation:
15b + 24 - 24 = -1 - 24
15b = -1 - 24
15b = -25
Divide both sides by 15:
b = -25/15
Simplify
b = -5/3
Therefore, the value of b is -5/3.
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Answer: -5/3
Step-by-step explanation:
12(b + 2) + 3b = -1
12b + 24 + 3b = -1
15b + 24 = -1
15b = -1-24
b = -25/15 = -5/3