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solve the following inequality: $-0.5x < 8$ complete the solution state…

Question

solve the following inequality:
$-0.5x < 8$
complete the solution statement by dragging the appropriate symbol to the first box and the correct value to the second box.
$x\square\square$
symbol
$\lt$ $\leq$ $\gt$ $\geq$
$-40$ $-16$ $-4$
$4$ $16$

Explanation:

Step1: Divide both sides by -0.5

When dividing an inequality by a negative number, the inequality sign flips. So, $\frac{-0.5x}{-0.5} > \frac{8}{-0.5}$

Step2: Simplify both sides

Simplifying gives $x > -16$

Answer:

\( x > -16 \) (So the symbol is \( > \) and the value is \( -16 \))