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Solve the following inequalities and give the solutions in both set and interval notations.

1 < 4x + 2 < 10

Sagot :

Cormidn

[tex]1 < 4x + 2 < 10[/tex]

First let's subtract 2 from everything in the inequality:

[tex]1 - 2 < 4x + 2 - 2 < 10 - 2[/tex]

[tex]-1 < 4x < 8[/tex]

Next, let's divide 4 from everything in the inequality:

[tex]\frac{-1}{4} < \frac{4x}{4} < \frac{8}{4}[/tex]

[tex]\frac{-1}{4} < x < 2[/tex]

This is the final solution to the inequality: [tex](\frac{-1}{4}, 2)[/tex]

Ishmritaidn

Answer:

1<4x+2<10

= -1/4<x<2

x=(-1/4,2)

View image Ishmrita
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