Let's solve the first inequality at first. So,
−2(x + 4) + 10 < x − 7
-2x- 8 + 10 < x - 7 By distribution property.
-2x + 2 < x - 7 Adding the like terms.
-2x < x - 7 - 2 Subtract 2 from each sides.
-2x < x - 9 By simplifying.
-2x - x < -9 Subtract x from each sides.
-3x < -9
Since we are dividing by negative 3. So, sign of inequality will get change.
So, x>3
Now the next inequality is,
−2x + 9 > 3(x + 8)
-2x + 9 > 3x + 24
-2x > 3x + 24 - 9
-2x > 3x + 15
-2x - 3x > 15
-5x >15
So, x <-3
Hence, the correct choice is x > 3 or x < −3.
Answer:
A
Step-by-step explanation:
The surface area (A) of a sphere is calculated as
A = 4πr² ← r is the radius
here r = 2, hence
A = 4π × 2² = 4π × 4 = 16π units² → A
Since we know that all angles in a triangle add up to , we can solve for and substitute it back into to find .
Remove the parentheses and combine like terms.
Add to both sides of the equation.
Divide both sides of the equation by .
Now that we have the value of , we can substitute it back into to find .