$a=7$ and $b=13$
Work Step by Step
We are given: $|x-3|\leq 1$ $-1\leq x-3\leq 1$ We add $3$: $2\leq x\leq 4$ And multiply by $3$: $6\leq 3x\leq 12$ And add $1$: $7\leq 3x+1\leq 13$ Therefore: $a=7$ and $b=13$
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