\[\boxed{\mathbf{1.}}\]
\[15 - x\ :4 < 9\]
\[x = \left\{ 4;8 \right\}.\]
\[\boxed{\mathbf{2.}}\]
\[2 \leq x < 8\]
\[x = \left\{ 2;4;5;\ 6;7 \right\}.\]
\[\boxed{\mathbf{3.}}\]
\[10\ 200 < 6879 + 3467 < 10\ 500\]
\[\textbf{б)}\ 2700\ :90 < 3072\ :78 < 3500\ :70\]
\[30 < 3072\ :78 < 50\]
\[\boxed{\mathbf{4.}}\]
\[\textbf{а)}\ 5340 \cdot 86 \approx 5000 \cdot 90 \approx\]
\[\approx 450\ 000\]
\[\textbf{б)}\ 24\ 542\ 000\ :700 \approx\]
\[\approx 21\ 000\ 000\ :700 \approx\]
\[\approx 210\ 000\ :7 \approx 30\ 000\]
\[\boxed{\mathbf{5.}}\]
\[Стоимость\] | \[Цена\ 1\ м\] | \[Длина\ отреза\] | |
---|---|---|---|
\[I\] | \[360\ р.\] | \[одинаковая\] | \[?\] |
\[\text{II}\] | \[540\ р.\] | \[?\] | |
\[II - I\] | \[540 - 360\ р.\] | \[2\ м\] |
\[1)\ (540 - 360)\ :2 = 180\ :2 =\]
\[= 90\ (рублей) - цена\ 1\ м\ ткани.\]
\[2)\ 360\ :90 = 4\ (м) - длина\ \]
\[первого\ \ отреза.\]
\[3)\ 540\ :90 = 6\ (м) - длина\ \]
\[второго\ отреза.\]
\[Ответ:4\ м\ и\ 6\ м.\]
\[\boxed{\mathbf{6.}}\]
\[180\ :(x - 15) + 11 = 20\]
\[180\ :(x - 15) = 20 - 11\]
\[180\ :(x - 15) = 9\]
\[x - 15 = 180\ :9\]
\[x - 15 = 20\]
\[x = 20 + 15\]
\[x = 35.\]
\[\boxed{\mathbf{7.}}\]
\[A = \left\{ 0;\ 1;2;3 \right\};\]
\[B = \left\{ 1;2;\ 3;4;5;6 \right\};\]
\[A \cap B = \left\{ 1;2;\ 3 \right\};\]
\[A \cup B = \left\{ 0;1;2;3;4;5;6 \right\}.\]