Algebra solving absolute value equations and inequalities

Ix+3I=4 Ix+3I≥4 Solve absolute equalities and inequalities Ix+3I<4

IxI=4 x=4 ,x=-4 Those are your 2 answers X=4,-4 Now GRAPH….

Graph IxI=4 Points (-4,4) -4 4 0

Ix+3I=4 x+3=4 ,x+3=-4 X+3=-4 -3 -3 -7 x=-7 X+3=4 -3 -3 1 x=1 X=-7,1 ,[object Object],[object Object],[object Object]

Ix+5I>4 x+5>4 , x+5<-4 -5 -5 -1 X>-1 -5 -5 -9 X<-9 x<-9,X>-1 or (-∞,-9)U(-1,∞) ,[object Object],[object Object],[object Object]

Ix+5I≥4 x+5≥4 , x+5≤-4 -5 -5 -1 X≥-1 -5 -5 -9 X≤-9 x≤-9,X≥-1 or (-∞,-9]U[-1,∞) ,[object Object],[object Object],[object Object]

I2xI≥4 2x≥4 , 2x≤-4 2 2 X≥2 2 2 X≤-2 x≤-2,X≥2 or (-∞,-2]U[-2, ∞) ,[object Object],[object Object],[object Object]

I-2xI≥4 -2x≥4 , -2x≤-4 -2 -2 X≥2 -2 -2 Now when you divide by a negative Number, you HAVE to flip the sign. X≤-2 x≤-2,x≥2 or (-∞,-2]U[-2, ∞) ,[object Object],[object Object],[object Object]

Works Cited All images were from Microsoft Clip Art.

Algebra solving absolute value equations and inequalities

Algebra solving absolute value equations and inequalities

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