Solve the equation $2 x + 1 = x - 3$ , and represent the solution (s) on (i)the number line (ii) the Cartesian plane.

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Solution

$(1) G i v e n e q u a t i o n i s 2 x + 1 = x - 3 \Rightarrow x = - 4 (S o l u t i o n i s s h o w n i n t h e a b o v e d i a g r a m (1)) (11) T h e g i v e n e q u a t i o n 2 x + 1 = x - 3 i s a l i n e a r e q u a t i o n i n o n e v a r i a b l e . \Rightarrow 2 x + 1 = x - 3 \Rightarrow x = - 4 (S o l u t i o n i s s h o w n i n t h e a b o v e d i a g r a m (I I)) S o l u t i o n o f t h i s e q u a t i o n i n C a r t e s i a n p l a n e i s a l i n e p a r a l l e l t o y - a x i s .$

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Solve the equation 3x + 2 = x - 8, and represent the solution on

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Question 7
How many solution(s) of the equation 2x + 1 = x - 3 are there on the:
(i) number line?
(ii) Cartesian plane?

Question 7
How many solution(s) of the equation 2x + 1 = x - 3 are there on the:
(i) number line?
(ii) Cartesian plane?

(y - 1) = - y + 5

2 x - 5 \leq 5 x + 4 < 11, w h e r e x ϵ I

- 3 < - \frac{1}{2} - \frac{2 x}{3} \leq \frac{5}{6}, x ϵ R

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