Question

Solve the inequalities for real x for the following equation: $37-(3x+5)\geq 9x-8(x-3)$

Answer 1

$37-(3x+5)\geq 9x-8(x-3)$

Remove the brackets:

$37 - 3x - 5 \geq 9x - 8x + 24$

Combine like terms:

$32 - 3x \geq x + 24$

Subtract x and 32 from both sides:

$- 3x -x \geq 24 - 32$

Combine like terms:

$-4x \geq -8$

Divide both sides by -4:

$x \leq 2$