Question

The product of -3 and a number is at least -24?
A. -3x ≥ -24; x ≤ 8
B. -3x ≥ -24; x ≥ 8
C. -3x < -24; x > 8
D. -3x > -24; x > 8

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{The product of -3 and a number is atleast -24}$

$\underline{\textbf{To find:}}$

$\textsf{The number}$

$\underline{\textbf{Solution:}}$

$\textsf{Let the required  number be x}$

$\textsf{As per given data,}$

$\mathsf{-3x\;\geq\;-24}$

$\textsf{We know that,}$

$\boxed{\mathsf{a\;\geq\;b\;\implies\;-a\;\leq\;-b}}$

$\implies\mathsf{3x\;\leq\;24}$

$\implies\mathsf{\dfrac{1}{3}{\times}3x\;\leq\;\dfrac{1}{3}{\times}24}$

$\implies\mathsf{x\;\leq\;8}$

$\underline{\textbf{Answer:}}$

$\mathsf{Option\;(A)\;is\;correct}$

Answer 2

Answer:

Given:

\textsf{The product of -3 and a number is atleast -24}The product of -3 and a number is atleast -24

\underline{\textbf{To find:}}

To find:

\textsf{The number}The number

\underline{\textbf{Solution:}}

Solution:

\textsf{Let the required number be x}Let the required number be x

\textsf{As per given data,}As per given