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In Math / Senior High School | 2025-07-23

1.[tex] \frac{ \times - 3 \\ }{ \times + 2} > 0[/tex]2.[tex] \frac{ \times }{ \times - 1} \geqslant 2[/tex]3.[tex] \frac{2 \times }{ \times - 1} \leqslant 3[/tex]SOLVE THE INEQUALITY (RATIONAL INEQUALITY)​

Asked by hanjirocassandra

Answer (1)

Answer:Step-by-step explanation:1.  (x-3)/(x+2) > 0    (x-3) > 0     x > 32.  x/(x-1) ≥ 2     x  ≥ 2(x-1)     x  ≥ 2x-2    - x  ≥ -2     x ≤ 2  [The inequality reverses due to multiplying by a minus (-1)]3.  (2x)/(x - 1) ≤ 3      2x ≤ 3(x-1)      2x ≤ 3x-3      -x ≤ -3       x ≥ 3   [The inequality reverses due to multiplying by a minus (-1)]

Answered by rspill6 | 2025-07-23