We want to solve an inequality, this means that we need to isolate the variable in one side of the inequality.
We will get that the inequality reduces to:
-14 ≥ - 30
This is true independent of the value of c, so we can say that all the values of c are solutions of the inequality.
We start with:
2*(5c-7) ≥ 10*(c-3)
Now we want to isolate C in one side of the inequality, so let's expand both sides to get:
2*5*c - 2*7 ≥ 10*c - 10*3
10*c - 14 ≥ 10*c - 30
Notice that we have 10*c in both sides, so we can subtract 10*c to get:
10*c - 14 - 10*c ≥ 10*c - 30 - 10*c
-14 ≥ - 30
So we removed the variable completely, meaning that the value of c actually does not affect the inequality.
Finally, we got that -14 is larger or equal than -30, which is true (it is larger).
So we can conclude that we got a true inequality regardless of the value of c.
If you want to learn more, you can read:
https://brainly.com/question/20085191
