would this be true
53 > 18 - 7x greater or equal to 25
subtract 18
35 > -7x greater or equal to 7
divide by 7
5 > -x greater or equal to 1
ur deviding by -7 so the sign would be flipped to < and it would be -5<x
Thank you so much
Yes, the statement "5 > -x greater or equal to 1" is true based on the given steps.
To explain how you can arrive at the solution:
1. Start with the original inequality: 53 > 18 - 7x greater or equal to 25.
2. Subtract 18 from both sides of the inequality: 53 - 18 > 18 - 18 - 7x greater or equal to 25 - 18. This simplifies to 35 > -7x greater or equal to 7.
3. Divide the entire inequality by -7. Since you are dividing by a negative number, the direction of the inequality flips: 35 / -7 < -7x / -7 less or equal to 7 / -7. This simplifies to -5 < x less or equal to -1.
4. Rewrite the inequality with x as the subject: -1 greater or equal to x > -5. This can also be written as -5 < x less or equal to -1, which matches your statement "5 > -x greater or equal to 1".
So, the original inequality simplifies to -5 < x less or equal to -1 or 5 > -x greater or equal to 1. Both representations are equivalent and true in this case.