Verified answer

[tex]\displaystyle\bf\\1)\\\\7x^{2} \leq 3x\\\\7x^{2} -3x\leq 0\\\\7x\cdot\Big(x-\frac{3}{7} \Big)\leq 0[/tex]

[tex]\displaystyle\bf\\+ + + + + [0] - - - - - [\frac{3}{7} ] + + + + +[/tex]

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[tex]\displaystyle\bf\\Otvet : \ x\in\Big[0 \ ; \ \frac{3}{7} \Big]\\\\\\2)\\\\-5x^{2} \geq -10x\\\\x^{2} \leq 2x\\\\x^{2} -2x\leq 0\\\\x(x-2)\leq 0\\\\+ + + + + [0] - - - - - [2] + + + + +[/tex]

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[tex]\displaystyle\bf\\Otvet \ : \ x\in\Big[0 \ ; \ 2\Big][/tex]