(1) 33x−2>92x+1=32(2x+1)=34x+23^{3x-2} > 9^{2x+1} = 3^{2(2x+1)} = 3^{4x+2}33x−2>92x+1=32(2x+1)=34x+2 3x−2>4x+2x<−43x - 2 > 4x + 2 \qquad x < -43x−2>4x+2x<−4 (2) 4x−2x≤222x−2x−2≤0(2x−2)(2x+1)≤0x≤14^x - 2^x \leq 2 \qquad 2^{2x} - 2^x - 2 \leq 0 \qquad (2^x - 2)(2^x + 1) \leq 0 \qquad x \leq 14x−2x≤222x−2x−2≤0(2x−2)(2x+1)≤0x≤1 (3) (0.25)x−1.125(0.5)x+0.125<0(0.25)^x - 1.125(0.5)^x + 0.125 < 0(0.25)x−1.125(0.5)x+0.125<0 (0.5x−0.125)(0.5x−1)<00<x<3(0.5^x - 0.125)(0.5^x - 1) < 0 \qquad 0 < x < 3(0.5x−0.125)(0.5x−1)<00<x<3