Question

When 7 is subtracted from five times a number, the result is greater than twice the sum of the number and 4. Find all the numbers that satisfy the inequality

Answer 1

Given :

When 7 is subtracted from five times a number, the result is greater than twice the sum of the number and 4.

To Find :

All the numbers that satisfy the inequality.

Solution :

Let , the number is x .

Mathematical expression for first term is :

5x - 7

Mathematical expression for second term is :

2(x + 4)

Now , comparing both the expression by given constrain.

`5x - 7 > 2(x + 4)\\\\5x-7>2x+8\\\\3x>15\\\\x>5`

So, all the numbers that satisfy the inequality are greater than 5.

Hence , this is the required solution.