First, you just need to disregard the greater than sign because these types of equation is solved the same way as those with equals (=) sign in the middle. So when y=6,
First you need to substitute y=6 to the y in 3y
3(6)>2x
By multiplying,
18>2x
By dividing both sides of the equation by 2
18/2 > 2x/2
9>x
However if you want to transpose x to the left side of the equation, you also need to reverse the sign to <
Which means
X<9
Answer:
x = 2 csc(1) y - π/4
Step-by-step explanation:
Solve for x:
y = 1/2 sin(1) (x + π/4)
y = 1/2 (x + π/4) sin(1) is equivalent to 1/2 (x + π/4) sin(1) = y:
1/2 sin(1) (x + π/4) = y
Divide both sides by sin(1)/2:
x + π/4 = 2 csc(1) y
Subtract π/4 from both sides:
Answer: x = 2 csc(1) y - π/4
Answer:
4
Step-by-step explanation:
Let's say B is the number of boys and T is the number of teachers.
T / (B + 18) = 2/21
B/18 = 4/3
Solve the second equation for B.
B = 24
Plug into the first equation to find T.
T / (24 + 18) = 2/21
T = 4
Answer:
Step-by-step explanation:
The answer is C.
Answer:
0.5<2-√2<0.6
Step-by-step explanation:
The original inequality states that 1.4<√2<1.5
For the second inequality, you can think of 2-√2 as 2+(-√2).
Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.
Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.
Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.
Hope this helped!
