Answer:
First Inequality: [tex]x < -1.5[/tex]
Second Inequality: [tex]x \geq 9.6[/tex]
Step-by-step explanation:
Step 1: Solve for x in the first inequality
[tex]12x + 7 - 7 < -11 - 7[/tex]
[tex]12x < -18[/tex]
[tex]12x / 12 < -18 / 12[/tex]
[tex]x < -1.5[/tex]
Answer: [tex]x < -1.5[/tex]
Step 2: Solve for x in the second inequality
[tex]5x - 8 + 8 \geq 40 + 8[/tex]
[tex]5x \geq 48[/tex]
[tex]5x / 5 \geq 48 / 5[/tex]
[tex]x \geq 9.6[/tex]
Answer: [tex]x \geq 9.6[/tex]
