Asked by jay
Solve the inequality then graph the solutions. x5≤7
Answers
Answered by
jay
x>4
Answered by
mathhelper
If x > 0
then x^5 ≤ 7
x ≤ 7^(1/5) or the fifth root of 7
x ≤ 1.476
It will be true for all values of x ≤ 0 , the 5th root of a negative number will be negative, therefore it will be x^5 ≤ 7 for all negative
e.g. (-4)^(1/5) = -1.319.. which is ≤ 1.476
so x ≤ 7^(1/5)
then x^5 ≤ 7
x ≤ 7^(1/5) or the fifth root of 7
x ≤ 1.476
It will be true for all values of x ≤ 0 , the 5th root of a negative number will be negative, therefore it will be x^5 ≤ 7 for all negative
e.g. (-4)^(1/5) = -1.319.. which is ≤ 1.476
so x ≤ 7^(1/5)
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