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if-K-x-R-2x-1-2x-1-0-and-J-x-R-x-2x-1-1-find-J-K-

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Question Number 74455 by Mr. K last updated on 24/Nov/19
if K=(x∈R 2x−1+∣2x−1∣=0 )and J=(x∈R −x(2x+1)≤−1) find J−K.
ifK=(x∈R2x−1+∣2x−1∣=0)andJ=(x∈R−x(2x+1)⩽−1)findJ−K.
Answered by MJS last updated on 24/Nov/19
K={x∈R∣x≤(1/2)} J={x∈R∣x≤−1∨x≥(1/2)} J−K={x∈R∣x∈J∧x∉K}={x∈R∣x>(1/2)}
K={x∈R∣x⩽12}J={x∈R∣x⩽−1∨x⩾12}J−K={x∈R∣x∈J∧x∉K}={x∈R∣x>12}

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