JohnCarloBarjaidn
Answered

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Solve linear equation involving absolute value: | x - 7 | = 17.
a. x= { 10,-24}
b.x= {-10,-24}
c. x= {-10, 24}
d.x= { 10, 24}​

Sagot :

Answer:

a. x= { 10,-24}

Step-by-step explanation:

[tex]\left|x-7\right|=17\quad :\quad x=-10\quad \mathrm{or}\quad \:x=24[/tex]

[tex]\left|x-7\right|=17[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a[/tex]


[tex]x-7=-17\quad \mathrm{or}\quad \:x-7=17[/tex]



[tex]x-7=-17\quad \mathrm{or}\quad \:x-7=17[/tex]
x= { 10,-24}