Question

How do you solve 38 + 5x > 7 ( x + 4 ) ?

Answer 1

Hint: We can solve the given inequality by converting an equation where all the variables are on one side and all the constants on the other side. If we add or subtract any constant both sides of an inequality then the inequality does not change. If we multiply or divide any constant on both sides then also it does not change, but when we multiply or divide any negative number , then we should reverse the inequality sign. We can not divide by 0.

Complete step by step answer:
The given inequality is equal to 38 + 5x > 7 ( x + 4 )
Further solving it we can write 38 + 5x > 7x + 28, subtracting 28 both sides we get 10 + 5x > 7x
Subtracting 5x from both sides we get 10 > 2x, now dividing both sides by 2 we can say that 5 is greater than x.
The value of x is always less than 7, $x\in \left( -\infty ,5 \right)$

Note:
We can see that the range of x in the above answer is denoted by round bracket or parenthesis, that means 5 is not included in the range of x. If x is less than equal to x, then we will use a square bracket. While writing infinitely we always use a round bracket that is because we can never reach infinite value.