2, X2 + x - 3
True or False

(True or False) The inequality |x + 1| < 0 has no solution.

Solution

The absolute value of a real expression is either positive or equal to zero. Therefore there is no value of x that makes |x + 1| negative and therefore |x + 1| < 0 is never true and the statement "The inequality |x + 1| < 0 has no solution" is TRUE.

false

2,x2+x-3

2

x

2

−

x

−

3

=

0

Factor by grouping.

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(

x

+

1

)

(

2

x

−

3

)

=

0

If any individual factor on the left side of the equation is equal to  

0

, the entire expression will be equal to  

0

.

x

+

1

=

0

2

x

−

3

=

0

Set the first factor equal to  

0

and solve.

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x

=

−

1

Set the next factor equal to  

0

and solve.

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x

=

3

2

The final solution is all the values that make  

(

x

+

1

)

(

2

x

−

3

)

=

0

true.

x

=

−

1

,

3

2

Step-by-step explanation:

answer: 2530

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