[tex] - (4x - 15) \geqslant - 9(3 + x) \\ - 4x + 15 \geqslant - 27 - 9x \\ - 4x + 9x \geqslant - 27 - 15 \\ 5x \geqslant - 42 \\ x \geqslant - 8 \dfrac{2}{5} [/tex]
[tex]21 + x > 2( - 2 - 5x) + 6x \\ 21 + x > - 4 - 10x + 6x \\ x + 10x - 6x > - 4 - 21 \\ 5x > - 25 \\ x > - 5[/tex]
Hope this helps. - M