Answer:
5
Step-by-step explanation:
3(x+3)=4(4+2)
3x+9=24
3x=15
x=5
Have a good day!
For this case we must find the solution set of the given inequalities:
Inequality 1:

Applying distributive property on the left side of inequality:

Subtracting 3 from both sides of the inequality:

Dividing by 6 on both sides of the inequality:

Thus, the solution is given by all the values of "x" greater than 3.
Inequality 2:

Subtracting 3x from both sides of the inequality:

Subtracting 3 from both sides of the inequality:

Thus, the solution is given by all values of x less than 4.
The solution set is given by the union of the two solutions, that is, all real numbers.
Answer:
All real numbers
Answer:
We know that:
Energy released by fusion of hydrogen in 1 liter of solution A = 7.6x10^10 J
Energy used daily in a certain family home = 3x10^4 J
(you did not write the units, so i suppose that are the same in both cases)
Then, if x is the number of liters of solution A used, the energy produced will be:
E(x) = x*7.6x10^10 J
And we want this equal to 3x10^4
then:
E(x) = x*7.6x10^10 J = 3x10^4 j
now we solve this for x.
x = (3x10^4 j)/(7.6x10^10 j) = 3.9x10^-7
Then you need to use 3.9x10^-7 L of solution a.
Check whether it is possible to have a triangle with the given side lengths for example 7,9,13 then add any two sides and see if it is greater than the other side. Example the sum of 7 and 9 is 16 and 16 is greater than 13