Question

solve the inequality for x and graph the solution. 3(5 - x) ≥ 45. the solution begins at (select) , with a(n) (select) circle and solutions going to the (select)

Explanation:

Step1: Expand the left - hand side

$3(5 - x)=15-3x$. So the inequality becomes $15 - 3x\geq45$.

Step2: Subtract 15 from both sides

$15-3x - 15\geq45 - 15$, which simplifies to $-3x\geq30$.

Step3: Divide both sides by - 3 and reverse the inequality sign

Since we are dividing by a negative number, when we divide $-3x\geq30$ by $-3$, we get $x\leq - 10$.

Answer:

The solution of the inequality $3(5 - x)\geq45$ is $x\leq - 10$. The solution begins at $x = - 10$, with a closed circle (because the inequality is $\geq$) and solutions going to the left.