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Which number line represents the solution set for the inequality - 2x2 4? -10 -8 6 -4 -20 2 4 6 8 10 -10 -8 6 + -2 0 2 -4 6 + -10 -8 6 -4 -2 0 2 68 10 -10 -8 -6 -4 -2 0 6 810​

Which number line represents the solution set for the inequality - 2x2 4? -10 -8 6 -4 -20 2 4 6 8 10 -10 -8 6 + -2 0 2 -4 6 + -10 -8 6 -4 -2 0 2 68 10 -10 -8 -6 class=

Answer :

Answer:

Option (2)

Step-by-step explanation:

Given inequality is,

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

⇒ [tex]\frac{1}{2}x\leq -4[/tex]

⇒ x ≤ -8

When we plot this inequality on a number line,

An arrow starting with a solid point from x = -8 and arrow directing towards negative numbers will represent the given inequality.

Option (2) will be the answer.

manissaha129

Answer:

[tex] - \frac{1}{2} x \geqslant 4 \\ - x \geqslant 2 \times 4 \\ - x \geqslant 8 \\ \boxed{\ x \leqslant - 8}[/tex]

x→{-∞,-8]

Number line :---

Arrow which represents solid sphere directed from (-8) moving towards left (-∞) will be the answer

2nd one is the right answer.

${teks-lihat-gambar} manissaha129

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