2 < а < 5 |*4
8 < 4а < 10
1 < b < 3 |*(-1)
-1 > -b > -3
-3 < -b < -1
8 + (-3) < 4a - b < 10 + (-1)
5 < 4a - b < 9
[tex]\displaystyle\bf \\ 2 < a < 5 \: \: | \times 4 \\ 8 < 4a < 20 \\ \\ 1 < b < 3 \: \: | \times ( - 1)\\ - 1 > - b > - 3 \\ - 3 < - b < - 1 \\ \displaystyle\bf\\ + \left \{ {{8 < 4a < 20} \atop { - 3 < - b < - 1 }} \right. \\ \\ 8 - 3 < 4 a - b < 20 - 1 \\ 5 < 4a - b < 19[/tex]
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Answers & Comments
2 < а < 5 |*4
8 < 4а < 10
1 < b < 3 |*(-1)
-1 > -b > -3
-3 < -b < -1
8 + (-3) < 4a - b < 10 + (-1)
5 < 4a - b < 9
[tex]\displaystyle\bf \\ 2 < a < 5 \: \: | \times 4 \\ 8 < 4a < 20 \\ \\ 1 < b < 3 \: \: | \times ( - 1)\\ - 1 > - b > - 3 \\ - 3 < - b < - 1 \\ \displaystyle\bf\\ + \left \{ {{8 < 4a < 20} \atop { - 3 < - b < - 1 }} \right. \\ \\ 8 - 3 < 4 a - b < 20 - 1 \\ 5 < 4a - b < 19[/tex]