Question

Which of the following sets represents the values of set
$A=\left\{x:7-5x>3,x\in W\right\}?$


[1 Mark]

• A. {... -3, -2, -1, 0}
• B. {0, 1, 2, 3,...}
• C. {0}
• D. {... -3, -2, -1, 0, 1, 2, 3,...}
  

Answer 1

The correct option is C {0}

Given,
$A=\left\{x:7-5x>3,x\in W\right\}$
$\text{Solving inequality,}7-5x>3$
$7-3>5x$
$\Rightarrow 4>5x$
$\Rightarrow x<\frac{4}{5}$
$\therefore x\in W$
$\Rightarrow A=\left\{0\right\}$