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Select the graph of the solution set that would represent the following expression. 2 ( x + 1 ) > 3 x − 2

Sagot :

Amphitrite1040

Hey there!


2(x + 1) > 3x - 2

DISTRIBUTE 2 WITHIN the PARENTHESES:

2(x) + 2(1) > 3x - 2


CONVERSION:

2x + 2 > 3x - 2

SUBTRACT 2 to BOTH SIDES:

-x + 2 - 2 > -2 - 2


SIMPLIFY IT!


NEW EQUATION:

-x > -4

CONVERSION 2:

-1x > -4


DIVIDE -1 to BOTH SIDES

-1x/-1 > -4/-1


SIMPLIFY IT!

x < 4


Therefore, your answer is: x < 4

Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

View image Amphitrite1040

We are given with an inequality and need to find it's solution set and need to represent it on number line too. Let's start !!!!

[tex]{:\implies \quad \sf 2(x+1)\> 3x-2}[/tex]

[tex]{:\implies \quad \sf 2x+2\> 3x-2}[/tex]

Subtracting 2x from both sides ;

[tex]{:\implies \quad \sf \cancel{2x}+2-\cancel{2x}\> 3x-2-2x}[/tex]

[tex]{:\implies \quad \sf 2\> x-2}[/tex]

Adding 2 to both sides :

[tex]{:\implies \quad \sf 2+2\> x-\cancel{2}+\cancel{2}}[/tex]

[tex]{:\implies \quad \sf 4\> x }[/tex]

[tex]{:\implies \quad \sf x\< 4}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x\in (-\infty,4)}}}[/tex]

Refer to the attachment for representation

View image Аноним
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