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 number

Question

4 years ago

11

s that satisfy the inequality

1 answer:

hichkok12 [17] · Answer 1 · 2022-02-25T09:24:03+03:00

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.