Answer:
[tex]\frac{7}{8}\text{ and }-\frac{5}{8}[/tex]
Step-by-step explanation:
Let x be the number which is [tex]\frac{3}{4}[/tex] unit from [tex]\frac{1}{8}[/tex],
That is,
[tex]|x-\frac{1}{8}| =\frac{3}{4}[/tex]
[tex]x-\frac{1}{8}=\pm \frac{3}{4}[/tex]
[tex]x=\frac{1}{8}\pm \frac{3}{4}[/tex]
[tex]\implies x=\frac{1}{8}+\frac{3}{4}\text{ or }x=\frac{1}{8}-\frac{3}{4}[/tex]
[tex]x=\frac{1+6}{8}\text{ or }x=\frac{1-6}{8}[/tex]
[tex]x=\frac{7}{8}\text{ or }x=-\frac{5}{8}[/tex]
Hence, 7/8 and -5/8 are 3/4 unit far from 1/8 on the number line.
