Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.