Hello!
The answer is:
A) The solution to the inequality is all the values of "x" less than -3.
Why?
To solve the problem, we must remember that isolating variables from inequalities and equalities are almost the same, however, we must remember that the solutions to both have completely different meanings.
Inequalities usually are used to express where a determined function exists, and are referred to restrictions or conditions.
So, we are given the following inequality:
[tex]-7x>21[/tex]
Then, solving we have:
[tex]-7x>21[/tex]
[tex]-x>\frac{21}{7}\\\\-x>3\\\\x<-3[/tex]
Hence, the solution to the inequality are all the values of "x" less than -3.
It can be also written like: (-∞,-3)
So, the correct option is the last graph:
A) The solution to the inequality is all the values of "x" less than -3.
Have a nice day!
