Задание

Выбери верные знаки

Докажи, что если \( a \gt 4\) и \(b \gt 2\) , то:

  1. \(2ab + 8 \gt 24\) .
  2. \(5a^2 + b^4 \gt 96\) .

Доказательство.

  1. \(a\) [ \(\gt\) | \(\lt\) ] \(4\) , \(b\) [ \(\gt\) | \(\lt\) ] \(2\) , \(ab\) [ \(\gt\) | \(\lt\) ][ ], \(2ab\) [ \(\gt\) | \(\lt\) ][ ], \(2ab + 8\) [ \(\gt\) | \(\lt\) ][ ].
  2. \(a\) [ \(\gt\) | \(\lt\) ][ ], \(b\) [ \(\gt\) | \(\lt\) ][ ], \(a^2\) [ \(\gt\) | \(\lt\) ][ ], \(b^4\) [ \(\gt\) | \(\lt\) ][ ], \(5a^2\) [ \(\gt\) | \(\lt\) ][ ], \(5a^2 + b^4\) [ \(\gt\) | \(\lt\) ][ ].