Solve for k. 4 < k - 9/-3 ______

Multiply by -3: First, we need to simplify the inequality by multiplying both sides by -3 to get rid of the fraction. Remember that multiplying by a negative number reverses the inequality sign. 4 -3 * (k - 9/-3)Perform multiplication: Now, perform the multiplication. -12 > -3k + 9Isolate variable k: Next, we isolate the variable k on one side of the inequality by subtracting 9 from both sides. -12 - 9 > -3k + 9 - 9Simplify inequality: Simplify the inequality by combining like terms. -21 > -3kDivide by -3: Now, divide both sides by -3 to solve for k. Remember to reverse the inequality sign because we are dividing by a negative number. -21 / -3 < -3k / -3Perform division: Perform the division to find the value of k. 7 < k

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Math Problems

Algebra 1

Solve advanced linear inequalities

Full solution

Q. Solve for

k

4 < \frac{k - 9}{-3}

Multiply by $-3$ : First, we need to simplify the inequality by multiplying both sides by $-3$ to get rid of the fraction. Remember that multiplying by a negative number reverses the inequality sign. $\newline$ 4 < \frac{k - 9}{-3} $\newline$ -3 \times 4 > -3 \times \left(k - \frac{9}{-3}\right)
Perform multiplication: Now, perform the multiplication. $\newline$ -12 > -3k + 9
Isolate variable $k$ : Next, we isolate the variable $k$ on one side of the inequality by subtracting $9$ from both sides. $\newline$ -12 - 9 > -3k + 9 - 9
Simplify inequality: Simplify the inequality by combining like terms. $\newline$ -21 > -3k
Divide by $-3$ : Now, divide both sides by $-3$ to solve for $k$ . Remember to reverse the inequality sign because we are dividing by a negative number. $\newline$ -21 / -3 < -3k / -3
Perform division: Perform the division to find the value of $k$ .7 < k