Question

Please...Solve the inequality, and then graph its solution: 5 + 2x - 2 < 12 + 8x - 3x​

Answer 1

Rewrite so

x

is on the left side of the inequality.

12

+

8

x

−

3

x

≥

5

+

2

x

−

2

Subtract

3

x

from

8

x

.

12

+

5

x

≥

5

+

2

x

−

2

Subtract

2

from

5

.

12

+

5

x

≥

2

x

+

3

Move all terms containing

x

to the left side of the inequality.

Tap for more steps...

12

+

3

x

≥

3

Move all terms not containing

x

to the right side of the inequality.

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3

x

≥

−

9

Divide each term by

3

and simplify.

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x

≥

−

3

The result can be shown in multiple forms.

Inequality Form:

x

≥

−

3

Interval Notation:

[

−

3

,

∞

)