select all the values of x that make the inequality -x+6>=10 true

Question

7th grade illustrative mathamatics

Answer 1

-x+6≥10,

-x≥4,

-4≥x,

x≤-4 are all the values of x satisfying the inequality, that is, all values of x which are less than -4, or, as an interval, any value of x in (-∞,-4]. For example, x=-4, -5, -6, ...-100, -4.1, -7.9, ... etc. All these values are represented by x≤-4.