Part 1
Given the inequality:
[tex]\begin{gathered} 7x<42 \\ \text{Divide both sides by 7} \\ \frac{7x}{7}<\frac{42}{7} \\ x<6 \end{gathered}[/tex]
The corresponding graph is the 3rd graph.
Part 2
Given the inequality:
[tex]\begin{gathered} 3x>15 \\ \text{Divide both sides by }3 \\ \frac{3x}{3}>\frac{15}{3} \\ x>5 \end{gathered}[/tex]
The corresponding graph is the 4th graph.
Part 3
Given the inequality:
[tex]\begin{gathered} 2x>12 \\ \text{Divide both sides by }3 \\ \frac{2x}{2}>\frac{12}{2} \\ x>6 \end{gathered}[/tex]
The corresponding graph is the 1st graph.
Part 4
Given the inequality:
[tex]\begin{gathered} x+1<8 \\ \text{Subtract 1 from both sides} \\ x+1-1<8-1 \\ x<7 \end{gathered}[/tex]
The corresponding graph is the 2nd graph.
