Flashcards
Solving inequalities
Cards in this deck (5)
- 1Solve the inequality x^2+2x-15≤0Solve quadratic to get x=-5 or x=3 and find the vertex which is (-1,-16). Sketch this and solve the inequality which is -5≤x≤3.
- 2Solve the inequality x^2-6x+14≥0This quadratic has no roots, meaning it is true for all values of x, and we can work out the vertex which is (3,5). From here we can say xER (meaning it's true for all values of x)
- 3A quartic graph has thew shape of a .....W
- 4Solve the inequality x^4-7x^3+14x^2-8x0≤x≤1 , 2≤x≤4
- 5Find the values of x such that 2x^3<7x^2+15xFirstly rearrange, then solve:
-3/2≤x≤0 , 5≤x