Here, we are required to write and solve an inequality to find the prices p of coats that the shopper can afford.
- The in equality is; 175 < p ≤ $430
- The solution of the inequality is; p = { range of values greater than $175 up until $430}
According to the question; the value of price, p of coats the shopper can afford is greater than $175.
- p > 175 can be translated as 175 < p
Also, the shopper has $430 to spend on a winter coat; As such, p ≤ $430.
The two inequalities can therefore be combined to yield a single inequality thus;
175 < p ≤ $430
To solve the inequality, the solution for prices of coat, p that the shopper can afford ranges between;
p = { <em>range of values greater than $175 up until $430}</em>
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