2a - 3 \geqslant 11

Question

`2a - 3 \geqslant 11`

Answer 1

`\large\boxed{a\geq7\to a\in[7,\ \infty)}`

Explanation:

`2a-3\geq11\qquad\text{add 3 to both sides}\\\\2a-3+3\geq11+3\\\\2a\geq14\qquad\text{divide both sides by 2}\\\\(2a)/(2)\geq(14)/(2)\\\\a\geq7`