Sam decided to lose weight and went on a diet. The figure below depicts a graph, showing how his weight changed during the year.
Using this graph, answer the following questions:
What was Sam’s weight at the beginning of the year?
What was Sam’s weight at the beginning of the year?
2 answers:
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Answer:
The inequality is 6x ≥ -24
The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)
Step-by-step 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
∵ ≥
∴ x ≥ -4
∴ The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)