Answer: Inequalities will be
![P+47\leq 85](https://img.qammunity.org/2020/formulas/mathematics/high-school/a8wfpcvo6jbdhr37392bw7tnr81mc6rb5c.png)
![M+\$375\leq \$2000](https://img.qammunity.org/2020/formulas/mathematics/high-school/vni9ple7bj9f69702bx6qzqk07n9w87e2e.png)
Explanation:
Since we have given that
In First Case :
Number of scores Jenny scored in one part exam = 47
Let the number of scores Jenny scored in second part exam be "P"
And she wants to score in combined exam = atleast 85
So, the system of inequality will be
![P+47\leq 85](https://img.qammunity.org/2020/formulas/mathematics/high-school/a8wfpcvo6jbdhr37392bw7tnr81mc6rb5c.png)
So, the range of P must be
![P+47\leq 85\\\\P\leq 85-47\\\\P\leq 38](https://img.qammunity.org/2020/formulas/mathematics/high-school/6p5rfbjkta1jrhg7ae5e9f62gdnrx2njrf.png)
Similarly,
In the second case,
Least amount Tom wants to save for a trip = $2000
Amount he saved so far = $375
Let the amount he needs to save for going for a trip be "M".
So, System of inequality will be
![M+\$375\leq \$2000](https://img.qammunity.org/2020/formulas/mathematics/high-school/vni9ple7bj9f69702bx6qzqk07n9w87e2e.png)
So, Value of M will be
![M+\$375\leq \$2000\\\\M\leq \$2000-\$375\\\\M\leq \$1625](https://img.qammunity.org/2020/formulas/mathematics/high-school/cjwhp522mlybcxh8khh94hre58fd1l6dfi.png)