Answer:
x ≥ 6
Step-by-step explanation:
Here we have to convert the verbal expression to algebraic expression.
Word Algebraic
Less than -
Times *
Greater than or equal ≥
Twice 2
The given verbal expression is "twelve less than 5 times a number is greater than or equal to 6 more than twice the number. "
Let "x" be a number.
5x - 12 ≥ 6 + 2x
Now we have to isolate the variable and constants.
Add 12 from both sides, we get
5x - 12 + 12 ≥ 6 + 2x + 12
5x ≥ 2x +18
Now subtract 2x from both sides, we get
5x - 2x ≥ 2x - 2x + 18
3x ≥ 18
Divide both sides by 3, we get
[tex]\frac{3x}{3} \geq \frac{18}{3}[/tex]
x ≥ 6
Now let's graph the inequality.
To draw the inequality, mark 6 on the number line with filled circle because the solution includes 6 and draw the arrow line to the right because it is greater than.
