Question

what is the missing step in solving the inequality $4(x - 3) + 4 \leq 10 + 6x?$1. the distributive property: $4x - 12 + 4 \leq 10 + 6x$2. combine like terms: $4x - 8 \leq 10 + 6x$3. the addition property of inequality: $4x \leq 18 + 6x$4. the subtraction property of inequality: $-2x \leq 18$5. the division property of inequality: ________$\bigcirc \\ x \leq -9$$\bigcirc \\ x \geq -9$$\bigcirc \\ x \leq -\frac{1}{9}$$\bigcirc \\ x \geq \frac{1}{9}$

Explanation:

Step1: Divide both sides by -2

When dividing an inequality by a negative number, reverse the inequality sign.
$$\frac{-2x}{-2} \geq \frac{18}{-2}$$

Step2: Simplify both sides

Calculate the division to isolate $x$.
$$x \geq -9$$

Answer:

B. $x \geq -9$