Question

Verify | a+b | < |a| + |b| by taking a = 1/2 b = -2/3​

Answer 1

Answer:

hope it helps you!!

Step-by-step explanation:

| a + b |

= | 1/2 + ( -2/3) |

= | 1/2 - 2/3 |

= | (3 - 4)/6 |

= | - 1/6 |

= 1/6

| a | + | b |

= | 1/2 | + | - 2/3 |

= 1/2 + 2/3

= (3 + 4)/6

= 7/6

so, 1/6 < 7/6

therefore, | a + b | < | a | + | b |