3 is the least possible number that satisfied these conditions
The solution set is: x≥3
Step-by-step explanation:
Let x be the number
Then according to given statement
If five times a number is increased by four
[tex]5x+4[/tex]
At least 19 means that the result will be equal to or greater than 19
so,
[tex]5x+4\geq 19[/tex]
subtracting 4 from both sides
[tex]5x+4-4 \geq 19-4\\5x \geq 15[/tex]
Dividing both sides by 5
[tex]\frac{5x}{5} \geq \frac{15}{5}\\x\geq 3[/tex]
3 is the least possible number that satisfied these conditions
The solution set is: x≥3
Keywords: Inequality, Variables
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