Double-checking since I saw what seems to be a mistake in a text
(-1/x)>17
Does the above equation simplify to
x<(-1/17) or x>(-1/17)
Inequality
This topic has expert replies
It will be X > -17
The inequality sign changes twice. Once for inversion of 1/x to x. One for changing -X to X. Hence, the sign remains the same in the final answer.
(-1/x)>17
Therefore, -x < 1/17
Therefore, x > -1/17
Check:
Assume x = -1/18 which is greater than -1/17
(-1/x) = 18 which is greater than 17.
The inequality sign changes twice. Once for inversion of 1/x to x. One for changing -X to X. Hence, the sign remains the same in the final answer.
(-1/x)>17
Therefore, -x < 1/17
Therefore, x > -1/17
Check:
Assume x = -1/18 which is greater than -1/17
(-1/x) = 18 which is greater than 17.
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-1/18 is greater than -1/17, since it is closer to zero on the number line.DCJ wrote:X < -1/17 is the correct answer. -1/18<-1/17
In this inequality:
-1/x > 17
x must be negative, since the value of -1/x is positive (it's greater than 17). So when we multiply by x on both sides, we're multiplying by a negative, and we need to reverse the inequality:
-1/x > 17
-1 < 17x
-1/17 < x
and since we know x is negative, we know that -1/17 < x < 0.
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