Which is the solution set of 7y + 1 > 8y – 9?
A) {y | y < -10}
B) {y | y < 10}
C) {y | y > 10}
D) {y | y > -10}
Question & Answer
Which is the solution set of 7y + 1 > 8y – 9?
1 Answer
Verified archiveTo solve the inequality ( 7y + 1 > 8y – 9 ), follow these steps:
1. Start by isolating the variable ( y ):
[
7y + 1 > 8y – 9
]
2. Subtract ( 7y ) from both sides:
[
1 > y – 9
]
3. Add ( 9 ) to both sides:
[
1 + 9 > y
]
[
10 > y
]
or equivalently,
[
y < 10
]
Thus, the solution set is:
B) {y | y < 10}
This means any value of ( y ) that is less than 10 satisfies the inequality. Great job working through this! If you have more questions, feel free to ask!