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Chapter 2: Problem 96

Will help you prepare for the material covered in the next section. Is 6 a solution of \(4 y-7 \geq 5 ?\)

Short Answer

Expert verified
Yes, 6 is a solution for the inequality \(4y - 7 \geq 5\).

Step by step solution

01

Substitute the Given Value into the Inequality

We will substitute \( y \) with 6 into the inequality. So, the inequality now becomes \(4*6 - 7 \geq 5 \)
02

Perform Multiplication and Subtraction

We now simplify this by first multiplying \(4*6\) to give \(24\), and then subtract 7 from this to get our new inequality, \(24 - 7 \geq 5\). This simplifies to \(17 \geq 5\).
03

Verify the Inequality

Finally, we need to check if the result of our inequality is true. Here, \(17\) is indeed greater than or equal to \(5\), therefore, yes, \(6\) is a solution of the given inequality.

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Most popular questions from this chapter

The bar graph shows average yearly earnings in the United States for people with a college education, by final degree earned. Exercises \(23-24\) are based on the data displayed by the graph. (GRAPH CANNOT COPY) The average yearly salary of an American whose final degree is a doctorate is 39 dollars thousand less than twice that of an American whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn 126 dollars thousand. Find the average yearly salary of Americans with each of these final degrees.

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