Question

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
.

Answer 1

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

Answer 2

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, ∞)