Question

Solve the inequality- 5/2(3x+4)<6-3x. Show your work.

Answer 1

Answer:

x < -8/21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

• $(\frac{5}{2} * 3x) + (\frac{5}{2} * 4) < -3x + 6$
• $\frac{15}{2}x + 10 < -3x + 6$

Step 2: Add 3x to both sides.

• $\frac{15}{2}x + 10 + 3x < -3x + 6 + 3x$
• $\frac{21}{2}x + 10 < 6$

Step 3: Subtract 10 from both sides.

• $\frac{21}{2}x + 10 - 10 < 6 - 10$
• $\frac{21}{2}x < -4$

Step 4: Multiply both sides by 2/21.

• $\frac{21}{2}x * \frac{2}{21} < -4 * \frac{2}{21}$ $x < -\frac{8}{21}$

Therefore, the answer is x < -8/21.