Question

solve for x −4≤11−3x
please help

Answer 1

Answer:

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

Step-by-step explanation:

$x-4\leq11-3x\qquad\text{add 4 to both sides}\\\\x-4+4\leq11+4-3x\\\\x\leq15-3x\qquad\text{add}\ 3x\ \text{to both sides}\\\\x+3x\leq15-3x+3x\\\\4x\leq15\qquad\text{divide both sides by 4}\\\\\dfrac{4x}{4}\leq\dfrac{15}{4}\\\\x\leq3.75$

Answer 2

Answer:

x ≤ 15/4.

Step-by-step 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.