2x+7 is greater than or equal to 21[tex]2x + 7 \geqslant 21[/tex]Find the solutions of this following using mathematical sentences.
Answer (1)
Answer:To solve the inequality \(2x + 7 \geq 21\), we need to isolate the variable \(x\). Here's how we can do it step by step:1. **Subtract 7 from both sides** to isolate the term with \(x\):\[ 2x + 7 - 7 \geq 21 - 7 \]\[ 2x \geq 14 \]2. **Divide by 2** to solve for \(x\):\[ \frac{2x}{2} \geq \frac{14}{2} \]\[ x \geq 7 \]Therefore, the solution to the inequality \(2x + 7 \geq 21\) is \(x \geq 7\). This means that any value of \(x\) greater than or equal to 7 will satisfy the inequality.
