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What is the missing step in solving the inequality 4(x – 3) + 4 < = 10 + 6x? 1. The distributive property: 4x – 12 + 4 < = 10 + 6x 2. Combine like terms: 4x – 8 < =10 + 6x 3. The addition property of inequality: 4x < =18 + 6x 4. The subtraction property of inequality: –2x < = 18 5. The division property of inequality: ________ A) x < = –9 B) x = > –9 C) x < = x is less than or equal to negative StartFraction 1 Over 9 EndFraction. D) x = > –x is greater than or equal to negative StartFraction 1 Over 9 EndFraction.

What Is The Missing Step In Solving The Inequality 4x 3 4 Lt 10 6x 1 The Distributive Property 4x 12 4 Lt 10 6x 2 Combine Like Terms 4x 8 Lt 10 6x 3 The Additio class=

Sagot :

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Answer:

B)  x ≥ -9

Step-by-step explanation:

The division property of inequality states that when we divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, to solve -2x ≤ 18, we divide both sides of the inequality by -2 and reverse the direction of inequality sign:

[tex]\sf -2x \leq 18 \\\\\\\dfrac{-2x}{-2}\leq \dfrac{18}{-2}\\\\\\x\geq -9[/tex]

So, the missing step in solving the inequality is:

[tex]\Large\boxed{\sf x\geq -9}[/tex]

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