Consider the following linear inequality.
$7 y - 5 \geq 8 + 9 y$
Step 1 of 2: Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.

Answer

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Answer

The solution to the inequality in interval notation is $(- \infty, - \frac{13}{2}]$ .

Steps

Step 1 ：Consider the following linear inequality: $7 y - 5 \geq 8 + 9 y$ .

Step 2 ：Subtract 9y from both sides of the inequality: $- 2 y - 5 \geq 8$ .

Step 3 ：Add 5 to both sides of the inequality: $- 2 y \geq 13$ .

Step 4 ：Divide both sides by -2 to solve for y, remembering to flip the inequality sign because we are dividing by a negative number: $y \leq - \frac{13}{2}$ .

Step 5 ：The solution to the inequality is $y \leq - \frac{13}{2}$ . This means that any value of y that is less than or equal to -\frac{13}{2} will satisfy the inequality.

Step 6 ：The solution to the inequality in interval notation is $(- \infty, - \frac{13}{2}]$ .

Consider the following linear inequality.7y−5≥8+9yStep 1 of 2: Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.

Answer

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Consider the following linear inequality.
$7 y - 5 \geq 8 + 9 y$
Step 1 of 2: Solve the inequality and express your answer in interval notation. Use decimal form for numerical values.