solve $-9.4 \\geq 1.7x + 4.2$.\n\n$x \\leq -8$\n$x \\leq 8$\n$x \\geq -8$\n$x \\geq 8$

Explanation:

Step1: Subtract constant from both sides

Subtract $4.2$ from both sides of the inequality. $$-9.4 - 4.2 \geq 1.7x$$

Step2: Simplify the left side

Combine the constant terms. $$-13.6 \geq 1.7x$$

Step3: Divide by the coefficient of x

Divide both sides by $1.7$ to isolate $x$. $$\frac{-13.6}{1.7} \geq x$$

Step4: Calculate the final value

Perform the division and rewrite the inequality. $$-8 \geq x \text{ or } x \leq -8$$

Answer:

$x \leq -8$