The required Inequality is $12x + $150 ≥ $380 where x is the minimum number of lawns Jacob will need to mow in order to buy the ticket. The solution of inequation is x ≥ 19.2 ~ 19.
An inequality is a mathematical expression in which both sides are not equal. Unlike equations, inequalities compare two values. Equal signs between are replaced by less than (or less than and equal), greater than (or greater than and equal ) sign.
When solving an inequality:
We have, total cost of electronic ticket i.e with all taxes = $380
Saved cost = $150
Cost of one mowing lawn = $12
let "x" be the number of lawns mowed by Jacob for earning the rest of money .
Total cost of x mowed lawns by Jacob।
= $12x .
Now, $12x + $150 ≥ $380 --(*)
This is the required Inequality and x is minimum number of lawns which Jacob have to mowed .
The solution of above Inequality,
Substracts 150 from both sides in (*)
12 x + 150 - 150 ≥ 380 - 150
=> 12x ≥ 230
dividing by positive 12 both sides we get,
=> x/12 ≥ 230/12
=> x ≥ 19.16
To learn more about Inequality, refer:
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Complete question:
Jacob is saving to buy an electronic ticket that costs $380 including tax and has saved $150. Jared plans to earn the rest of the money by mowing lawns and will charge $12 for each lawn he mows. Write an inequality to find x, the minimum number of lawns Jacob will need to mow in order to buy the ticket. Show how to solve the inequality and what is solution.