Question

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Answer 1

1.

`x < - (5)/(13)`

2.

`x \geqslant - (1)/(5)`

Explanation:

↷

`- (13)/(16)x + (3)/(8) < (11)/(16) \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - (3)/(8 ) < - (3)/(8) }{ ( - (13)/(16)x )/( - (13)/(16) ) < \: \: \: \frac{ \frac { 5}{16} }{ - ( 13)/(16) } } \\ \\ x < ( - 5)/( \: 13)`

↷

`(1)/(3) \geqslant (2)/(9) - (5)/(9) x \\ ( - ( 2)/(9) \geqslant - (2)/(9) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: )/( ( \: \: \: (1)/(9)x )/( - ( 5)/(9) ) \geqslant ( - (5)/(9) )/( - (5)/(9) ) ) \\ \\ x \geqslant - (1)/(5)`