Question

Solve for x −4≤11−3x
please help

Answer 1

x ≤ 15/4.

Explanation:

x − 4 ≤ 11 − 3x Add 3x to both sides:

x + 3x - 4 ≤ 11 Add 4 to both sides:

x + 3x ≤ 11 + 4

4x ≤ 15

x ≤ 15/4.

Answer 2

`\large\boxed{x\leq3.75\to x\in(-\infty,\ 3.75]}`

Explanation:

`x-4\leq11-3x\qquad\text{add 4 to both sides}\\\\x-4+4\leq11+4-3x\\\\x\leq15-3x\qquad\text{add}\ 3x\ \text{to both sides}\\\\x+3x\leq15-3x+3x\\\\4x\leq15\qquad\text{divide both sides by 4}\\\\(4x)/(4)\leq(15)/(4)\\\\x\leq3.75`