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Find the solution set of the equation: –8 + |6y – 7| = 3
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Find the solution set of the equation: –8 + |6y – 7| = 3 Related: Int...
Solution Set of the Equation: –8 |6y – 7| = 3

Given equation: –8 |6y – 7| = 3

We need to find the solution set of the above equation.

To solve this equation, we need to isolate the absolute value expression first. To do this, we will divide both sides of the equation by –8.

–8 |6y – 7| = 3

|6y – 7| = –3/8

Since the absolute value of any expression is always non-negative, the equation |6y – 7| = –3/8 has no real solutions.

Therefore, the original equation –8 |6y – 7| = 3 also has no real solutions.

Hence, the solution set of the given equation is the empty set or { }.

Conclusion

The given equation –8 |6y – 7| = 3 has no real solutions. The solution set of the equation is the empty set or { }.
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Find the solution set of the equation: –8 + |6y – 7| = 3 Related: Introduction to Inequalities, Quantitative Aptitude?
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