Question

Create and solve an inequality tomodel the scenario Twelve increased by the product of four and the quantity of six decreased by twice a number is less than seven increased by twice the same number

Answer 1

The statement given in mathematical terms is

12 + [4 × (6 - 2x)] < 7 + 2x

On solving, the solution of the inequality is

x > 2.9

Step-by-step explanation

Let the unknown number be x,

Twelve increased by the product of four and the quantity of six decreased by twice a number is less than seven increased by twice the same number. In mathematical terms,​

12 + [4 × (6 - 2x)] < 7 + 2x

We can then try to solve this

12 + [24 - 8x] < 7 + 2x

12 + 24 - 8x < 7 + 2x

36 - 8x < 7 + 2x

We can then rewrite this as

7 + 2x > 36 - 8x

2x + 8x > 36 - 7

10x > 29

Divide both sides by 10

(10x/10) > (29/10)

x > 2.9

Hope this Helps!!!