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Real Valued Functions

Find for what...

Question

Find for what real values of $x$ , following expressions holds true.
$x^{2} + 2 x - 3 < 0$

x

lies between

- 3

and

1

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x

lies between

- 1

and

1

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x

lies between

- 1

and

3

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None of these

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Solution

The correct option is A $x$ lies between $- 3$ and $1$ .
Given, $x^{2} + 2 x - 3 < 0$

$∴ x^{2} + 2 x - 3 = (x - 1) (x + 3) < 0$ ,

if $x \in (- 3, 1)$

Therefore, $x$ lies between $- 3$ and $1$ .

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Find for what real values of x, following expressions holds true.x2+2x−3<0

The correct option is A x lies between −3 and 1.Given, x2+2x−3<0∴x2+2x−3=(x−1)(x+3)<0, if x∈(−3,1)Therefore, x lies between −3 and 1.

Find for what real values of $x$ , following expressions holds true.
$x^{2} + 2 x - 3 < 0$

The correct option is A $x$ lies between $- 3$ and $1$ .
Given, $x^{2} + 2 x - 3 < 0$

$∴ x^{2} + 2 x - 3 = (x - 1) (x + 3) < 0$ ,

if $x \in (- 3, 1)$

Therefore, $x$ lies between $- 3$ and $1$ .