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25-10-2022
Mathematics

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Solve the following inequality algebraically. [tex] |x - 1| \leqslant 13[/tex]

Solve the following inequality algebraically tex x 1 leqslant 13tex class=

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SeidyY668458 SeidyY668458

25-10-2022

lx-1 l ≤ 13

There are 2 solutions:

x-1 ≤ 13

and

x-1 ≥ -13

Solve each one

x-1 ≤ 13

add 1 to both sides of the equation

x-1+1≤ 13+1

x ≤ 14

x-1 ≥ -13

Add 1 to both sides:

x-1+1 ≥-13+1

x ≥ -12

-12 ≤ x ≤ 14

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