Question

1). Rezolvati in multimea numerelor intregi urmatoarele ecuatii : a) x:(-3)=2 b) 21+x=15 ...
2).Rezolvati in multimea numerelor intregi urmatoarele inecuatii : a) 4x+5∠-3 b) x:(-2)≥1 ...

Answer 1

1.

a) x:(-3) = 2

x = 2*(-3)

x = -6

b) 21+x = 15

x = 15-21

x = -6

2.

a) 4x+5 < -3

4x < -3-5

4x < -8

x < -8:4

x < -2

x apartine (-infinit, -2)

b) x:(-2) ≥ 1

x ≥ 1*(-2)

x ≥ -2

x apartine [-2, infinit)

Answer 2

2.

$\it a)\ 4x+5 < -3\Big|_{-5} \Rightarrow 4x < -8\Big|_{:4} \Rightarrow x < -2 \Rightarrow x\in\{...,\ -5,\ -4,\ -3\}\\ \\ \\ b)\ x:(-2)\geq1\Big|_{\cdot(-2)} \Rightarrow x\leq-2 \Rightarrow x\in\{...,\ -5,\ -4,\ -3,\ -2\}$