[tex]\\ \sf\longmapsto -2x+5\lt 7[/tex]
[tex]\\ \sf\longmapsto -2x\lt 7-5[/tex]
[tex]\\ \sf\longmapsto -2x\lt 2[/tex]
[tex]\\ \sf\longmapsto x\lt \dfrac{2}{-2}[/tex]
[tex]\\ \sf\longmapsto x\lt -1[/tex]
Step-by-step explanation:
by subtracting 5 from both sides, we get
After dividing both sides by -2, the comparing sign changes and we get
Hence, first option is correct.