Answer to Question #97303 in Algebra for Alexandra

Question

visualize the solution of the absolute value inequality | x − 4 | + 3 ≤ 7. What is the solution to the inequality?

Answer 1

$|x-4|+3\leq7,\\$

$|x-4|\leq4,\\$

$x-4\leq4\;\;and\;\;4-x\leq4,\\$

$x\leq8\;\;and\;\;x\geq0,\\$

$0\leq x\leq8.$