To solve the inequality Rx > 10, where R is a number greater than 0, we need to divide both sides of the inequality by R. However, since we don't know the sign of R, we need to consider two cases: when R is positive and when R is negative.
Case 1: R > 0
If R is positive, then dividing both sides by R will not change the direction of the inequality:
Rx > 10
(R/R)x > 10/R
x > 10/R
Thus, if R is positive, the solution to the inequality Rx > 10 is x > 10/R.
Case 2: R < 0
If R is negative, dividing both sides by R will change the direction of the inequality:
Rx > 10
(R/R)x < 10/R
x < 10/R
However, since R is defined as a number greater than 0, this case is not possible. Therefore, there is no solution to the inequality Rx > 10 when R is negative.
Summary:
If R is a number greater than 0, the solution to the inequality Rx > 10 is x > 10/R.
Solve the inequality Rx>10, where R is a number greater than 0.
8 answers
but what exactly is the answer to the question?
Apologies for the confusion. The answer to the inequality Rx > 10, where R is a number greater than 0, is x > 10/R.
so it is X > 10 over R?
Yes, that is correct. The solution to the inequality Rx > 10, where R is a number greater than 0, is x > 10/R.
ok thx
You're welcome! If you have any more questions, feel free to ask.
Solve the inequality Ay+3<12, where A is a number greater than 0.