How to create an inequality from a word problem

Asked by maham237 @ 10/01/2021 in Mathematics viewed by 282 People

Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.2.) Write the inequality and show all work to solve the inequality.
3.) Explain what your solution means in the context of the problem.

Answered by maham237 @ 10/01/2021

Answer:

Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.

Let x be the number of miles.

Then, we have inequality: $8x+2\leq 10$

Solve the inequality: $8x+2\leq 10$ .

Subtract 2 from both the sides:

$8x+2-2\leq 10-2$

Simplify:

$8x\leq 8$

Divide by 8 both sides we get;

$x\leq 1$

as shown in figure 1.

From the context of the problem :

we can say that Paul can travel 1 miles or less before reaching his limit of $10.

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