Matematică
NutellaLoverOfficial
6

1. [latex] \left \{ {{3x+y=7} \atop {-3x+4y=-2}} \right. [/latex] 2. [latex] \left \{ {{x+y=-1} \atop {-2x-2y=2}} \right. [/latex] 3. 5x-7≥-4x+11 4. (X-2) •5+4≤(3x+2) 3-4 5. [latex] \frac{29-2x}{3} [/latex]+7< [latex] \frac{3x-11}{4} [/latex]-x 6. [latex] \frac{12x+7}{3} [/latex]>3x+[latex] \frac{1-x}{4} [/latex]

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(1) Răspunsuri
Magdalazanu

1.  3x+y=7 -3x+4y=-2 _________    /   5y=5 =>y=1 ; x=2 2.    x+y=-1  |·2 -2x-2y=2 ________   /     /     /  => sistem cu solutii nedeterminate 3. 5x+4x≥7+11 9x≥18 =>x≥2 =>x∈[2, +∞) 4. 5x-10+4≤9x+6-4 5x-9x≤6+6-4 -4x≤8 sau 4x≥-8 =>x≥-2 =>x∈[-2, +∞) 5. 4(29-2x)+84<3(3x-11)-12x 116-8x+84<9x-33-12x -8x+3x<-200-33 -5x<-233 sau 5x>233 =>x>233/5, asta daca dupa linia de fractie este -x... 6. 4(12x+7)>36x+3(1-x) 48x+28>36x+3-3x 48x-33x>-28+3 15x>-25 =>x>-25/15 sau x>-5/3 =>x∈(-5/3, +∞)

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