Question

Abraham has visited country somebody he has a cold or visiting at least 50 countries he plans to choose a school by visiting five new countries per year (Y) for the next several years which inequality and solution shows the amount of years they will take for Abraham to meet his goal

Answer 1

Question:

Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.

Answer:

`Countries \geq 50 + 5y`

`y \leq 29`

Explanation:

Given

`Countries = 50` ------ at least

`Yearly =5`

Required

Represent as an inequality

"at least" means
`\geq`

So the countries he has visited can be represented as thus;

`Countries \geq 50`

If

1 year = 5 countries

y years would be 5y countries

So, in y years; he'd have visited

`Countries \geq 50 + 5y`

To determine the value of y.

We have that

`Countries = 195` in the world

Substitute 195 for Countries

`195 \geq 50 + 5y`

Collect Like Terms

`195 - 50 \geq 5y`

`145 \geq 5y`

Divide through by 5

`145/5 \geq y`

`29 \geq y`

Reorder

`y \leq 29`

This means that; he'll visit all countries in at most 29 years' time