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[tex] \frac{5}{8} < \frac{3}{8} x - \frac{1}{4} [/tex]
Solve the inequality and graph the solution.​

Sagot :

Sᴘᴀᴄᴇ7

[tex] \sf \: \frac{5}{8} < \frac{3}{8} x - \frac{1}{4}[/tex]

[tex]\sf \longmapsto \frac{5}{8} < \frac{3}{8} x + \frac{ - 1}{4} [/tex]

[tex]\sf \longmapsto \frac{3}{8} x + \frac{ - 1}{4 } > \frac{5}{8} [/tex]

[tex]\sf \longmapsto \frac{3}{8} x + \frac{ -1 }{4} + \frac{ - 1}{4} > \frac{5}{8} + \frac{1}{4} [/tex]

[tex]\sf \longmapsto \frac{3}{8} x > \frac{7}{8} [/tex]

[tex]\sf \longmapsto( \frac{8}{3} ) \times (\frac{3}{8} x) > (\frac{8}{3} ) \times ( \frac{7}{8} )[/tex]

[tex]\sf \longmapsto \: x > \frac{7}{3} [/tex]

  • Graph attached
View image Sᴘᴀᴄᴇ7
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