Question

What is the solution to the inequality? −6x+5>−1 ​ a.x>1 ​ ​ B.x>−1 ​ ​ C.x<−1 ​ ​ D.x<1 ​

Answer 1

$-6x+5 > -1\qquad\text{subtract 5 from both sides}\\\\-6x > -6\qquad\text{change the signs}\\\\6x < 6\qquad\text{divide both sides by 6}\\\\x < 1\to\boxed{D.}$

Answer 2

Explanation:

Subtract by 5 both sides of an equation.

$-6x+5-5>-1-5$

Then, simplify.

$-6x>-6$

Change the sign to less than.

Multiply by the -1 both sides of an equation. it can also reverse inequality.

$(-6x)(-1)$

Simplify.

$6x$

Then you divide by 6 both sides of an equation.

6x/6<6/6

Finally, simplify dividing into the numbers.

$6/6=1$

$\boxed{D. x$

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