solve it: Solve for xa x-1+x-3=5b x-x-2=2 - Maths - Linear Inequalities

Question

solve it:

Solve   for   x a   x - 1 + x - 3 = 5 b   x - x
- 2 = 2

Lovina Kansal · Accepted Answer

Dear student

a) x-1+x-3=5Case 1: For x<1-x-1-x-3=5⇒-x+1-x+3=5⇒-2x=1⇒x=-12Case 2: For 1≤x<3(x-1)-(x-3)=5⇒x-1-x+3=5⇒2=5   [Not valid]So, No solution for x∈RCase 3: For x≥3(x-1)+(x-3)=5⇒2x-4=5⇒2x=9⇒x=92Combine the ranges, we getx<1 and x=-12 or x≥3 and x=92⇒x=-12 or x=92
Similarly try other part
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solve it: Solve for x a x - 1 + x - 3 = 5 b x - x - 2 = 2

solve it:

$Solve for x (a) |x - 1| + |x - 3| = 5 (b) |x| - |x - 2| = 2$