Math, asked by sahilajavaid300, 9 months ago

The range of values for which x squared-7x+10<0

Answers

Answered by rajdeep1778
0

Answer:

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Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems Algebra Solve for x x^2-7x+10<0

x

2

7

x

+

10

<

0

Convert the inequality to an equation.

x

2

7

x

+

10

=

0

Factor

x

2

7

x

+

10

using the AC method.

(

x

5

)

(

x

2

)

=

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

5

=

0

x

2

=

0

Set the first factor equal to

0

and solve.

x

=

5

Set the next factor equal to

0

and solve.

x

=

2

The final solution is all the values that make

(

x

5

)

(

x

2

)

=

0

true.

x

=

5

,

2

Use each root to create test intervals.

x

<

2

2

<

x

<

5

x

>

5

Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.

x

<

2

False

2

<

x

<

5

True

x

>

5

False

The solution consists of all of the true intervals.

2

<

x

<

5

The result can be shown in multiple forms.

Inequality Form:

2

<

x

<

5

Interval Notation:

(

2

,

5

)

image of graph

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