Question

Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options.
x greater-than-or-equal-to negative 7
x less-than-or-equal-to negative 7
The graph has a closed circle.
–6 is part of the solution.
–7 is part of the solution.

Answer 1

Solve 15 ≥ 22 + x:
15 − 22 ≥ x → −7 ≥ x, i.e. x ≤ −7.

True statements (choose three):
- x less-than-or-equal-to negative 7 — True.
- The graph has a closed circle — True (endpoint −7 is included).
- −7 is part of the solution — True.

False:
- x greater-than-or-equal-to negative 7 — False.
- −6 is part of the solution — False (−6 > −7, not ≤ −7).