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Write the word sentence as an inequality. Then solve the inequality.

Six times a number x is at least −24.

An inequality is
.

The solution of this inequality is
.

2 Answers

4 votes

Answer:

The inequality is 6x ≥ -24

The solution is x ≥ -4

Explanation:

To solve this you have to divide both sides by 6, so 6 ÷ 6 cancels out and -24 ÷ 6 = -4

So, the solution is x ≥ -4

User Streamline
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11 votes

Answer:

The inequality is 6x ≥ -24

The solution of this inequality is {x : x ∈ R, x ≥ -4}[-4, ∞)

Explanation:

  • In the inequality not more than means
  • In the inequality at least means

Let us solve the question

∵ Six times a number x means 6 × x = 6x

∵ At least means

∴ Six times a number x is at least -24 is 6x ≥ -24

The inequality is 6x ≥ -24

Now we will find the solution of the inequality

6x ≥ -24

→ Divide both sides by 6


(6x)/(6)
(-24)/(6)

x ≥ -4

The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)

User Simon Ji
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7.2k points