+63 Find all real numbers that satisfy the equation\(|x+4| + |x-7| = |2x-1|.\)
If you find more than one such value of list all of your solutions separated by commas. If you only find one solution, then just enter that solution.
Thank you in advance :)
+128407 We can write
(x + 4) + ( 7 - x) = (2x - 1)
11 = 2x - 1
12 = 2x
x = 6
This is the only real solution as shown by the graph here : https://www.desmos.com/calculator/jcjov5i1sw
The graphs intersect at (6,11)
+874 Note:
$x<-4, -4 \leq x < \frac{1}{2},\frac{1}{2} \leq x<7, x\geq 7$
$x < -4$ No Solutions
$-2 < x \leq 1$ No Solutions
$1 \leq x < 14 \qquad | \qquad x = 6$
$x \geq 7$ No Solutions
$x = 6$
@MathProblemSolver101
