b. A shopper has $430 to spend on a winter coat. Write and
solve an inequality to find the prices p of coats that the
shopper can afford. Assume that p > 175.

Respuesta :

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 = { range of values greater than $175 up until $430}

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