Respuesta :
Answer:
The inequality that represents the solution of 8(6x − 7) < 5(9x − 4) is x < 12.
Step-by-step explanation:
Given 8(6x − 7) < 5(9x − 4)⇒ 48x - 56 < 45x - 20⇒ 48x - 45x < -20 + 56
⇒3x< 36 ⇒ x<36/3 ⇒ x<12.
Inequalities help us to compare two unequal expressions. The correct option is B.
What are inequalities?
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given inequality can be solved as,
8(6x − 7) < 5(9x − 4)
48x − 56 < 45x − 20
48x − 45x < 56 − 20
3x < 36
x < 36/3
x < 12
Hence, the inequality that represents all the solutions of 8(6x − 7) < 5(9x − 4) is x < 12.
The complete question is:
Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)? A. x > 12 B. x < 12 C. x > 20 D. x < 20
Learn more about Inequality:
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