How do you solve and graph $- 9 \leq 2 x - 5$ $-9 <=2x-5$ and $2 x + 1 < 5$ $2x +1 < 5$ ?

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How do you solve and graph $- 9 \leq 2 x - 5$ $-9 <=2x-5$ and $2 x + 1 < 5$ $2x +1 < 5$ ?

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Answer 1 · 2017-11-21T14:45:21

solve:
$- 2 \leq x < 2$ $-2<=x<2$

graph (reds):
$- - - - - (- 2) - - 0 - - 2 - - - - - - - \to x$ $-----color(red)((-2)--0--)2-------->x$

Explanation:

$- 9 \leq 2 x - 5$ $-9<=2x-5$
$2 x + 1 < 5$ $2x+1<5$
$\Rightarrow$ $=>$
$- 9 \leq 2 x - 5$ $-9<=2x-5$
$2 x - 5 < - 1$ $2x-5<-1$
$\Rightarrow$ $=>$
$- 9 \leq 2 x - 5 < - 1$ $-9<=2x-5<-1$
$\Rightarrow$ $=>$
$- 4 \leq 2 x < 4$ $-4<=2x<4$
$\Rightarrow$ $=>$
$- 2 \leq x < 2$ $-2<=x<2$

on x axis:
$- - - - - - - 0 - - - - - - - - - \to x$ $-------0---------->x$

we put $x = - 2, x = 2$ $x=-2 , x=2$
$\Rightarrow$ $=>$
$- - - - - (- 2) - - 0 - - 2 - - - - - - - \to x$ $-----(-2)--0--2-------->x$

we want $x \geq - 2 and x < 2$ $x>=-2 and x<2$ (paints in red)
$\Rightarrow$ $=>$
$- - - - - (- 2) - - 0 - - 2 - - - - - - - \to x$ $-----color(red)((-2)--0--)2-------->x$

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How do you solve and graph $- 9 \leq 2 x - 5$ $-9 <=2x-5$ and $2 x + 1 < 5$ $2x +1 < 5$ ?

1 Answer

Explanation:

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How do you solve and graph $- 9 \leq 2 x - 5$ $-9 <=2x-5$ and $2 x + 1 < 5$ $2x +1 < 5$ ?