Answer:
x < -8/21
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
- [tex](\frac{5}{2} * 3x) + (\frac{5}{2} * 4) < -3x + 6[/tex]
- [tex]\frac{15}{2}x + 10 < -3x + 6[/tex]
Step 2: Add 3x to both sides.
- [tex]\frac{15}{2}x + 10 + 3x < -3x + 6 + 3x[/tex]
- [tex]\frac{21}{2}x + 10 < 6[/tex]
Step 3: Subtract 10 from both sides.
- [tex]\frac{21}{2}x + 10 - 10 < 6 - 10[/tex]
- [tex]\frac{21}{2}x < -4[/tex]
Step 4: Multiply both sides by 2/21.
- [tex]\frac{21}{2}x * \frac{2}{21} < -4 * \frac{2}{21}[/tex] [tex]x < -\frac{8}{21}[/tex]
Therefore, the answer is x < -8/21.
