Answer :

[tex]\\ \sf\longmapsto -7<3x+2\leqslant5[/tex]

  • Substract 2 from all sides

[tex]\\ \sf\longmapsto -7-2<3x+2-2\leqslant 5-2[/tex]

[tex]\\ \sf\longmapsto -9<3x\leqslant 3[/tex]

  • Divide all sides by 3

[tex]\\ \sf\longmapsto \dfrac{-9}{3}<\dfrac{3x}{3}\leqslant \dfrac{3}{3}[/tex]

[tex]\\ \sf\longmapsto -3<x\leqslant 1[/tex]

Option A is correct