Respuesta :
Answer:
the solution set is: x < 1
Step-by-step explanation:
Given that:
-6x+5>-1
We have to find solution for x so by simplifying:
Subtracting 5 from both sides we get:
-6x+5 - 5>-1 - 5
Both 5s on left side will be cancelled out:
-6x > -6
Dividing both sides by -6 will change the sign of inequality:
-6x/-6 < -6/-6
x < 1
So the solution set is: x < 1
i hope it will help you!
Answer:
The solution set for the given inequality is {x | x < 1}, or in other words, any real number less than 1.
Step-by-step explanation:
Let -6x + 5 > -1 be the given inequality.
To solve for the solutions for x:
- -6x + 5 - 5 > -1 - 5 (subtract both sides by 5)
- -6x > -6 (evaluate)
- x < 1 (dividing both sides by -6, see note below)
The solution set for the given equality is {x | x < 1} or simply any real number x such that x < 1.
Note:
The change of inequality symbol at the third line is due to multiplying/dividing both sides by a negative number. In general, let "a", "b" and "c" be positive real numbers.
Let a < b. It follows that (-c)(a) > (-c)(b). Similarly, (a)/(-c) > (b)/(-c)