В)
{-x+16≥0
{x+4≥0
{-x+16≤(x+4)²
1) -x+16≥0 2) x+4≥0 3) -x+16≤(x+4)²
-x≥ -16 x≥ -4 -x+16≤x²+8x+16
x≤16 -x²-x-8x+16-16≤0
-x²-9x≤0
x²+9x≥0
x(x+9)≥0
x=0 x= -9
+ - +
---------- -9 ---------- 0 ------------
\\\\\\\\\\\ \\\\\\\\\\\\\
x∈(-∞; -9]U[0; +∞)
{x≤16
{x≥-4
{x∈(-∞; -9]U[0; +∞)
x∈[0; 16]
г)
{x-1≤x²-9
{x-1≥0
1) x-1≤x²-9 2) x-1≥0
-x²+x-1+9≤0 x≥1
x²-x-8≥0
x²-x-8=0
D=1+32=33
x₁=(1-√33)/2
x₂=(1+√33)/2
+ - +
----------- (1-√33)/2 ---------------- (1+√33)/2 -------------
\\\\\\\\\\\\\\ \\\\\\\\\\\\\\\\\
x∈[(1+√33)/2; +∞)