egarcia1
egarcia1 egarcia1
  • 03-11-2016
  • Mathematics
contestada

Which number line represents the solution set for the inequality –1/2x ≥ 4?

Respuesta :

texaschic101
texaschic101 texaschic101
  • 03-11-2016
-1/2x > = 4 ...multiply both sides by -2, change inequality sign
x < = 4 * -2
x < = -8

closed circle (because of the equal sign) on -8, shading to the left (because it is less then)
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calculista
calculista calculista
  • 12-09-2018

we have

[tex]-\frac{1}{2}x \geq 4[/tex]

Solve the inequality

Multiply by [tex]-2[/tex] both sides-----> remember change inequality sign

[tex]x \leq -8[/tex]

the solution is the interval-----------> (-∞,-8]

using a graph tool

see the attached figure

the solution is the shaded area

Ver imagen calculista
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