Question

1. 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. Graph the solution to your inequality on a number line.
4. Explain what your solution means in the context of the problem

Answer 1

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

2) 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\geq 8`

Divide by 8 both sides we get:
`x\leq 1`

as shown in figure 1.

3) From the context of the problem : we can say that Paul can travel 1 miles or less before reaching his limit of $10.