Question

Solve the Iinear inequality and expre 6(4-3x)+4x<3(9+2x)

Answer 1

To solve the given linear inequality, distribute on both sides of the equation, combine like terms, and isolate the variable x. The solution is x > -3/8.

Step-by-step explanation:

To solve the given linear inequality: 6(4-3x) + 4x < 3(9+2x)

1. Begin by distributing on both sides of the equation: 24-18x + 4x < 27 + 6x
2. Combine like terms on each side of the equation: -18x + 4x + 6x < 27 - 24
3. Combine like terms again: -8x < 3
4. Divide each side by -8 (remember, when dividing or multiplying by a negative number, flip the inequality sign): x > -3/8

So the solution to the linear inequality is x > -3/8.