Question

-6x+5>-1 what is the solution to the inequality?.

Answer 1

The solution set for the given inequality is x , or in other words, any real number less than 1.

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 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)

Answer 2

the solution set is: x < 1

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!