10 Which number line represents the solution to the inequality -7x - 13 2 8?A-10-5НЕН1005B-10-50510с-10-50510D-10-50510оооо
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The correct option is option A
Explanation:
First we solve the inequality:
-7x -13 ≥ 8
collect like terms:
-7x ≥ 8 + 13
-7x ≥ 21
Divide through by -7:
x ≤ 21/-7
Note: when you divde an inequality by negative number, the iequality sign changes.
x ≤ -3
Since x is less than or equal to -3, the number line starts at -3 and moves towards the left of the number line.
The correct option is option A