Respuesta :

Answer: Inequalities will be

[tex]P+47\leq 85[/tex]

[tex]M+\$375\leq \$2000[/tex]

Step-by-step 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

[tex]P+47\leq 85[/tex]

So, the range of P must be

[tex]P+47\leq 85\\\\P\leq 85-47\\\\P\leq 38[/tex]

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

[tex]M+\$375\leq \$2000[/tex]

So, Value of M will be

[tex]M+\$375\leq \$2000\\\\M\leq \$2000-\$375\\\\M\leq \$1625[/tex]