Solve & Graph Inequalities
Solve: 2x – 4 < 6
x < 5
Domain of f(x) = x + 2
all reals
Simplify: (x + 2)(x + 3)
x² + 5x + 6
Simplify: (3 + 2i) + (4 – 5i)
7 – 3i
Solve: –3x + 9 ≥ 0
x < 3
Domain of f(x) = 1/(x – 5)
Domain: x ≠ 5
Subtract: (4x² + 3x – 1) – (x² + 5x – 4)
3x² – 2x + 3
Simplify: (5 + i) – (2 + 3i)
3 – 2i
Solve & graph: 4x + 1 ≤ 9
x ≤ 2
Range of f(x) = x²
Range: y ≥ 0
Multiply: (x + 1)(x – 4)(x + 2)
x³ – x² – 6x – 8
Multiply: (2 + 3i)(1 – 2i)
8 – i
Solve: –2(x + 3) > 8
x < -7
Domain of f(x) = √(x – 3)
Domain: x ≥ 3
Divide: (2x³ + 5x² – 3x + 4) ÷ (x + 2)
Quotient: 2x² + x – 5. Remainder: 14
Simplify: (3 – 4i)²
–7 – 24i
Solve & graph: 3x – 7 < 2x + 4
x < 11
Domain & Range of f(x) = x – 2
Domain: all reals; Range: y ≥ 1
Subtract: (6x³+2x²−8x)−(2x³−3x²−2x+2)
4x³ + 5x² – 6x – 2
(3+2i)(4−5i)
22−7i