Question

REPEDE VA ROG MULT!
1.a (x-1)(2x+3) - 10 mai mic sau egal (x-3)(2x-1)
b. (x+1)toata paranteza la 2 + 2x(x+5) mai mic sau egal decat 3x (x+3) +7
c. (x-2)(2x+5)- 3 mai mic sau egal decat 2 (x-1) toata paranteza la 2 +5
d. (x+2) toata paranteza la 2 2x(x-5) mai mic sau egal decat 3 (x-4) toata paranteza la 2 + 28

Answer 1

1.
a (x-1)(2x+3) - 10 ≤(x-3)(2x-1)
2x²-2x+3x-3-10 ≤2x²-6x-x+3
8x ≤16
x ≤16 /8
x ≤2

b. (x+1)² + 2x(x+5) ≤ 3x (x+3) +7
x²+2x+1+2x²+10x≤3x²+9x+7
3x+1+10x≤+7
3x≤6
x≤2
c. (x-2)(2x+5)- 3 ≤ 2 (x-1)² +5

d. (x+2)²+ 2x(x-5)≤ 3 (x-4)² + 28
x²+4x+4+2x²-10x≤ 3x²-24x+48 + 28
18x+4≤ +48 + 28
18x≤72
x≤4