Find the solution set of the inequality 14- 3x < -1.14

x > 5  7/150, or (as a mixed number with decimal fraction) x > 5.0467

Step-by-step explanation:

There are multiple ways of doing this problem.  Let's use separate steps for clarity.  Subtract 14 from both sides, obtaining:

-3x < -1.14 - 14

Combining the terms of the right side, we get:

-3x < -15.14

Now let's solve for x.  To do this, divide both sides by -3 and reverse the direction of the inequality sign:

x > 15.14/3, or   x > 5  7/150

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.