Question

(Question 27)

Solve 3 – 4x < x – 12, x ∈ { -1, 0, 1, 2, 3, 4, 5, 6, 7​

Answer 1

$\texttt\pink{==> x = - 1}$

$\texttt\pink{3-4(-1) < -1-12}$

$\texttt\pink{3+4 < -13}$

$\texttt\pink{7 < -13}$

$\texttt\pink{The above statement is false}$

$\texttt\blue{==> x = 0}$

$\texttt\blue{3-4(0) < 0-12}$

$\texttt\blue{3 - 0 < -12}$

$\texttt\blue{3 < -12}$

$\texttt\blue{The above statement is false}$

$\texttt\orange{==> x = 1}$

$\texttt\orange{3 - 4(1) < 1- 12}$

$\texttt\orange{3-4 < -11}$

$\texttt\orange{-1 < -11}$

$\texttt\orange{The above statement is false}$

$\texttt\green{==> x = 2}$

$\texttt\green{3 - 4(2) < 2-12}$

$\texttt\green{3-8 < -10}$

$\texttt\green{-5 < -10}$

$\texttt\green{The above statement is false}$

$\texttt\purple{==> x = 3}$

$\texttt\purple{3 -4(3) < 3-12}$

$\texttt\purple{3-12 < -9}$

$\texttt\purple{-9 < -9}$

$\texttt\purple{The above statement is false}$

$\texttt\red{==> x = 4}$

$\texttt\red{3 -4(4) < 4-12}$

$\texttt\red{3 - 16 < -8}$

$\texttt\red{-13 < -8}$

$\texttt\red{The above statement is True}$

$\texttt\pink{==> x = 5}$

$\texttt\pink{3 - 4(5) < 5-12}$

$\texttt\pink{3 - 20 < -7}$

$\texttt\pink{-17 < -7}$

$\texttt\pink{The above statement is True}$

$\texttt\orange{==> x = 6}$

$\texttt\orange{3 - 4(6) < 6-12}$

$\texttt\orange{3 - 24 < -6}$

$\texttt\orange{-21 < -6}$

$\texttt\orange{The above statement us True}$

$\texttt\blue{==> x = 7}$

$\texttt\blue{3-4(7) < 7-12}$

$\texttt\blue{3 - 28 < -5}$

$\texttt\blue{-25 < -5}$

$\texttt\blue{The above statement us True}$

$\mathsf\green{The \: values \: which \: were \: satisfied \: were \: 4,5,6,7}$