Answer:
![x < 5](https://img.qammunity.org/2022/formulas/mathematics/high-school/u93kaqpus56457q8o6c7hfxdsc7272sfj2.png)
Explanation:
Given
![Savings = \$595](https://img.qammunity.org/2022/formulas/mathematics/high-school/pjrc9u9rtuggjd0lyt48hozjypxfnq3qvd.png)
Rate of Lifting Ticket = $35 per ticket
Expected Amount = More than $420
Required
Determine the number of tickets she can buy
If the cost of lifting 1 ticket is 35, then the cost of x tickets is 35x.
Her spendings is then calculated as:
Total = Savings - Cost of lifting tickets
![Total = 595 - 35x](https://img.qammunity.org/2022/formulas/mathematics/high-school/r0f5jm09bpgj0afbsbpn17pukbz257pvs6.png)
From the question, we understand that she wants to have more than 420 left.
This is represented as:
![595 - 35x > 420](https://img.qammunity.org/2022/formulas/mathematics/high-school/5yvtym85ssw26kxeeb23wjakbypt6eu34l.png)
Collect Like Terms
![- 35x > 420 - 595](https://img.qammunity.org/2022/formulas/mathematics/high-school/sa2pbdegemf4n9kjo8xh70n6p0h8rv3zhm.png)
![- 35x > -175](https://img.qammunity.org/2022/formulas/mathematics/high-school/lq3jv4yy1ewdcw462xivkl45dk3a2rkwld.png)
Divide through by -35
![x < (-175)/(-35)](https://img.qammunity.org/2022/formulas/mathematics/high-school/5ybiqy11d62lx3egv7bdv7wn4v3a8suqkb.png)
![x < 5](https://img.qammunity.org/2022/formulas/mathematics/high-school/u93kaqpus56457q8o6c7hfxdsc7272sfj2.png)