Solution: To solve the inequality 3x + 2 > 7, we can begin by subtracting 2 from both sides: 3x + 2 - 2 > 7 - 2 3x > 5 Next, we divide both sides of the inequality by 3 to isolate the variable x: (3x)/3 > 5/3 x > 5/3 Therefore, the solution to the inequality 3x + 2 > 7 is x > 5/3.
Provide us with a unique real-world problem that could be solved with this inequality.
show your work.
Real-world Problem: A car rental company charges a flat fee of $30 per day plus $0.15 per mile driven. You want to determine how many miles you can drive in a day in order to keep the total cost of the rental below $50.
Solution:
Let x be the number of miles driven in a day.
The total cost of the rental can be represented by the inequality:
0.15x + 30 < 50
Subtracting 30 from both sides:
0.15x < 20
Dividing both sides by 0.15:
x < 20 / 0.15
Simplifying:
x < 133.33
Therefore, to keep the total cost of the rental below $50, you can drive up to 133 miles in a day.
it has to be using his inequality just make it a real world solution and show the work
Real-world Problem: A store is offering a discount on a particular item. The original price is $80, and the discount is 20% off. You want to determine the maximum amount you can spend on this item and still be within budget.
Solution:
Let x be the amount spent on the item after the discount.
The maximum amount that can be spent can be represented by the inequality:
0.8 * 80 < x
Simplifying:
64 < x
Therefore, to stay within budget, you can spend up to $64 on the item after the discount.
To solve the inequality 3x + 2 > 7, we can begin by subtracting 2 from both sides: 3x + 2 - 2 > 7 - 2 3x > 5 Next, we divide both sides of the inequality by 3 to isolate the variable x: (3x)/3 > 5/3 x > 5/3 Therefore, the solution to the inequality 3x + 2 > 7 is x > 5/3.
use this inequality with a real world solution ( THE ENTIRE EQUATION. )
Real-world Problem: A company is selling a new product for $3 per unit plus a $2 handling fee for each order. You want to determine how many units of the product you need to order in order to spend more than $7.
Solution:
Let x be the number of units of the product to be ordered.
The total cost of the order can be represented by the inequality:
3x + 2 > 7
Subtracting 2 from both sides:
3x > 7 - 2
Simplifying:
3x > 5
Dividing both sides by 3:
x > 5/3
Therefore, to spend more than $7, you need to order more than 5/3 units of the product.