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Question Number 106695 by bobhans last updated on 06/Aug/20
You can't use 'macro parameter character #' in math modeYou can't use 'macro parameter character #' in math mode3x−2x+1⩽2.9x−10.6x+22x+3findthesolutionset
Answered by bemath last updated on 06/Aug/20
@bemath@3x−2.2x2x⩽2.9x−10.6x+8.(2x)22x(32)x−2⩽2(32)2x−10(32)x+8set(32)x=tt−2⩽2(t−1)(t−4)definedon(t−1)(t−4)⩾0⇒t⩽1∪t⩾4...(1)squaringbothsidest2−4t+4⩽2t2−10t+8−t2+6t−4⩽0;t2−6t+4⩾0(t−3)2−5⩾0t⩽3−5∪t⩾3+5...(2)from(1)∩(2)weget→{t⩽1t⩾3+5{(32)x⩽1⇒x⩽0(32)x⩾3+5⇒x⩾log(32)(3+5)thesolutionsetisx∈(−∞,0]∪[log(32)(3+5),∞)
Commented by bobhans last updated on 06/Aug/20
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