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

Question

asked Jul 6, 2018 167k views

2 Answers

Alexey Nikitenko · Answer 1 · 2018-07-09T20:31:09+0000

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.