1\ \wedge\ y < -1\\\\A.\ \frac{x}{y} > 1-FALSE;example:x=2;\ y=-2\ then\\L=\frac{2}{-2}=-1;R=1;\ L < R\\\\B.\ |x|^2 > |y|-FALSE;example:x=2;\ y=-6\ then\\L=|2|^2=2^2=4;R=|-6|=6;\ L < R\\\\C.\ \frac{x}{3}-5 > \frac{y}{3}-5-TRUE;\frac{x}{3}-5 > \frac{y}{3}-5\to\frac{x}{3} > \frac{y}{3}\to x > y"> x > 1 ∧ y < − 1 A . y x > 1 − F A L SE ; e x am pl e : x = 2 ; y = − 2 t h e n L = − 2 2 = − 1 ; R = 1 ; L < R B . ∣ x ∣ 2 > ∣ y ∣ − F A L SE ; e x am pl e : x = 2 ; y = − 6 t h e n L = ∣2 ∣ 2 = 2 2 = 4 ; R = ∣ − 6∣ = 6 ; L < R C . 3 x − 5 > 3 y − 5 − TR U E ; 3 x − 5 > 3 y − 5 → 3 x > 3 y → x > y
y^2+1-FALSE;example:x=2;\ y=-3\ then\\L=2^2+1=4+1=5;R=(-3)^2+1=9+1=10;L < R\\\\E.\ x^{-2} > y^{-2}-FALSE;example:x=3;\ y=-2\ then\\L=3^{-2}=\frac{1}{9};R=(-2)^{-2}=\frac{1}{4};\ L < R"> D . x 2 + 1 > y 2 + 1 − F A L SE ; e x am pl e : x = 2 ; y = − 3 t h e n L = 2 2 + 1 = 4 + 1 = 5 ; R = ( − 3 ) 2 + 1 = 9 + 1 = 10 ; L < R E . x − 2 > y − 2 − F A L SE ; e x am pl e : x = 3 ; y = − 2 t h e n L = 3 − 2 = 9 1 ; R = ( − 2 ) − 2 = 4 1 ; L < R
The correct answer is option C: \frac{y}{3} - 5"> 3 x − 5 > 3 y − 5 , because it simplifies to y"> x > y , which is always true under the given conditions. All other options are false based on specific counterexamples.
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Jawaban:Masukkin aja semua telur ke dalam panci, kan pancinya besar. Masa iya mau rebus telur satu persatu, hanya saja butuh waktu yang lebih lama karena massa jenis dalam panci juga bertambah. Kalau mau hitungan satu persatu ya gini sih 2 lusin kan berarti 24 butir telur ya 24 × 5 = 120 menit atau 2 jam.