1)
дробь меньше 1, поэтому знак меняется на противоположный с > на <<br>
- + +
- - +
----------------|---------------|---------------->x
-1 5
x∈[-1;5]
-1+0+1+2+3+4+5=14
Ответ: 14
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2) 0 \\ 2x<3 \\ x< 1,5 " alt="log_{ 0,5 }(3-2x) \geq 1 \\ log_{ \frac{1}{2} }(3-2x) \geq 1 \\ log_{ \frac{1}{2} }(3-2x) \geq log_{ \frac{1}{2} } \frac{1}{2} \\ 3-2x \leq \frac{1}{2} \\ 2x \geq \frac{5}{2} \\ x \geq \frac{5}{4} \\ \\ \\ 3-2x>0 \\ 2x<3 \\ x< 1,5 " align="absmiddle" class="latex-formula">
Ответ: х=1,25
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3)-1} \atop {2x+4 \geq 0}} \right. \left \{ {{log_4(2-0,5x)<1} \atop {x \geq -2}} \right. \left \{ {{log_4(2-0,5x)-2} \atop {x \geq -2}} \right. \left \{ {{x>-4} \atop {x \geq -2}} \right. \\ \\ 2-0,5x>0 \\ 0,5x<2 \\ x<4 " alt=" \left \{ {{log_{4^{-1}}(2-0,5x)>-1} \atop {2x+4 \geq 0}} \right. \left \{ {{log_4(2-0,5x)<1} \atop {x \geq -2}} \right. \left \{ {{log_4(2-0,5x)-2} \atop {x \geq -2}} \right. \left \{ {{x>-4} \atop {x \geq -2}} \right. \\ \\ 2-0,5x>0 \\ 0,5x<2 \\ x<4 " align="absmiddle" class="latex-formula">
x∈[-2;4)
Ответ: х=3