Question

3.Find the range of values of x of each of the following. @ganeshie8

Answer 1

a)\[12>x(x-4)\]
b)\[x(7-5x)>2\]

Answer 2

a)\[x^2-4x-12>o\]

Answer 3

careful about the inequality

Answer 4

\[(x-6)(x+2)>0\]

Answer 5

hold up

Answer 6

\[12>x(x-4)\]

subtracting 12 gives
\[0 >x(x-4)-12\]

yes ?

Answer 7

yep

Answer 8

go to right side of that and look at it

Answer 9

\[\large x(x-4)-12 \color{red}{<} 0\]

Answer 10

\[\large x^2-4x-12 \color{red}{<} 0\]

Answer 11

\[\large (x-6)(x+2) \color{red}{<} 0\]

Answer 12

now think of how the graph of parabola with intercepts 6 and -2 looks like

Answer 13

opens upward

Answer 14

yes! draw a rough sketch