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solve the following inequality. 7 - 3y≥9 to solve the given inequality,…

Question

solve the following inequality.
7 - 3y≥9
to solve the given inequality, use the addition principle for inequalities. which number or expression should be subtracted to get the terms without variables on the right side of the inequality?
7
subtract 7 from both sides of the inequality.
7 - 3y≥9
7 - 3y - 7≥9 - 7

  • 3y≥2

simplify.
(type the terms of your expression in the same order as they appear in the original expression.)
what is the next step to solve the inequality?
divide both sides of the inequality by - 3
multiply both sides of the inequality by - 3
divide both sides of the inequality by the number/expression found in the previous step.
y
simplify.
(type the terms of your expression in the same order as they appear in the original expression.)

Explanation:

Step1: Isolate variable - term

Subtract 7 from both sides.
$7 - 3y-7\geq9 - 7$
$-3y\geq2$

Step2: Solve for y

Divide both sides by - 3 and reverse the inequality sign.
$y\leq\frac{2}{-3}$
$y\leq-\frac{2}{3}$

Answer:

$y\leq-\frac{2}{3}$