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.
[tex]5x - 7 > 2(x + 4)\\\\5x-7>2x+8\\\\3x>15\\\\x>5[/tex]
So, all the numbers that satisfy the inequality are greater than 5.
Hence , this is the required solution.
