To solve the inequality \( 9x + 15 \geq 51 \), we can follow these steps using inverse operations:
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Subtract 15 from both sides of the inequality: \[ 9x + 15 - 15 \geq 51 - 15 \implies 9x \geq 36 \]
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Divide both sides of the inequality by 9: \[ \frac{9x}{9} \geq \frac{36}{9} \implies x \geq 4 \]
Therefore, the correct response describing the steps Eric should take is: Subtract 15 from both sides of the inequality and then divide both sides of the inequality by 9.
For Question 2:
The solution to the inequality is \( x \geq 4 \).
- Eric would plot the point given in the solution on the number line with a closed circle since the inequality includes \( 4 \) (due to the "≥" symbol).
- He would then shade to the right of the point on the number line to represent all numbers greater than or equal to \( 4 \).
So, the correct responses would be: Eric would plot the point given in the solution on the number line with a(n) closed circle and shade to the right of the point on the number line.