x ≥ 42
x/6 ≥ 7
The inequality x ≥ 42 can be read aloud as x is greater than or equal to 42.
This means that any value of x that is greater than or equal to 42 will satisfy this inequality.
To solve this inequality, you could graph the line x = 42 on a number line and shade all of the points to the right of that line. Alternatively, you could pick a few test values to see which values of x satisfy the inequality.
For example, let’s test x = 40, x = 42, and x = 45:
If x = 40, then 40 is not greater than or equal to 42, so this value does not satisfy the inequality.
If x = 42, then 42 is equal to 42, which satisfies the inequality, since x is allowed to be equal to 42 in this case.
If x = 45, then 45 is greater than 42, so this value satisfies the inequality.
Therefore, all values of x that are greater than or equal to 42 will satisfy this inequality, and any values of x that are less than 42 will not.
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