126k views
4 votes
2, X2 + x - 3
True or False​

2 Answers

2 votes

Answer:

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

Explanation:

User Daharon
by
4.8k points
3 votes

Answer:

(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.

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User Kshitij Marwah
by
5.5k points