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Tamiku [17]
3 years ago
11

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

s that satisfy the inequality
Mathematics
1 answer:
hichkok12 [17]3 years ago
3 0

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.

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