Answered

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solve the inequality 2(4x+1) < 3(2x-3)

Sagot :

DarlinEsteves

Answer:

[tex] x < - \frac{11}{2} [/tex]

Step-by-step explanation:

Distribute 2 through the parentheses:

[tex]8x + 2 < 3(2x - 3)[/tex]

Distribute 3 through the parentheses:

[tex]8x + 2 < 6x - 9[/tex]

Move the variable to the left-hand side and change its sign:

[tex]8x + 2 - 6x < - 9[/tex]

Move the constant to the right-hand side and change its sign:

[tex]8x - 6x < - 9 - 2[/tex]

Collect like terms:

[tex]2x < - 9 - 2[/tex]

Calculate the difference:

[tex]2x < - 11[/tex]

Divide both sides of the inequality by 2:

[tex]x < - \frac{11}{2} [/tex]

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