melodyjones233 melodyjones233
  • 04-03-2024
  • Mathematics
contestada

Which number line represents the solution set for the inequality-1/2x>4

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jimthompson5910 jimthompson5910
  • 04-03-2024

To isolate x, multiply both sides by -2. Multiplying both sides by a negative number will flip the inequality sign.

[tex]-\frac{1}{2} \text{x} > 4\\\\\text{x} < -2*4\\\\\text{x} < -8\\\\[/tex]

The graph will have an open hole at -8 with shading to the left.

The open hole means "exclude the endpoint".

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