Solve 2x2-5x-3=0.
x=3 or x=-1/2
Solve and graph 4x-1>=7.
x>=2
Find the x-intercepts of y=x2+6x+8.
(x+4)(x+2)=0
x=-4 or x=-2
Graph the solution to inequality y>3x-2
Line goes up 3 over 1
Dashed Line
Shaded above line.
Solve 3x2+5x+1=0.
x~-0.23 or -1.43
Solve and graph 3x-(x+2)>=0.
x>=1
Solve 2x+7x-15=0.
(2x-3)(x+5)=0
x=3/2 or x=-5
Graph y<=3x+1.
Solid Line. Shading below the line.
Solve 25x2-20x+4=0.
x=2/5
Solve and graph -x+6>x+2.
x<2
Solve 2=6x2-x.
0=6x2-x-2
0=(2x+1)(3x-2)
x=-1/2 or x=2/3
Graph y>=-2x+3.
Point at (0,3). The line goes down 2 over 1.
Solid line. Shaded above the line.
Solve x2+4x+10=0.
No Solution.
x<=9
Solve 9x2-6x+1=0.
(3x-1)(3x-1)=0
x=1/3
Graph y<=x2-2x-8.
Parabola facing up. X-intercepts at (-2,0) and (4,0). Y-int at (0,-8).
Solid Line. Shading below parabola.
Solve (3x+1)(x+2)=1.
x~0.15 or x~-2.18
Solve and graph 3(5-x)>=7x-1.
x<=1.6
2+9x=5x2
5x2-9x-2=0
(5x+1)(x-2)=0
x=-1/5 or x=2
Graph y>=x2-3.
Parabola facing up. X-intercepts ~-1.5 and ~1.5. Y-intercept at -3.
Solid Line. Shading above parabola.