Question

What is the solution to the inequality? −6x+5>−1

​ x>1 ​

​ x<−1 ​

​ x>−1 ​

​ x<1 ​

Answer 1

`-6x+5>-1\implies -6x>-6\implies x<1`

Answer 2

Answer: The correct option is

(D) x < 1.

Step-by-step explanation: We are given to find the solution to the following inequality :

`-6x+5>-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following property of inequalities :

`a>b~~~~~~\Rightarrow -a<-b.`

The solution of equation (i) is as follows :

`-6x+5>-1\\\\\Rightarrow -6x>-1-5\\\\\Rightarrow -6x>-6\\\\\Rightarrow 6x<6\\\\\Rightarrow x<(6)/(6)\\\\\Rightarrow x<1.`

Thus, the required solution is x < 1.

Option (D) is CORRECT.