which of the following number lines shows the solution to the inequality given below? 3x + 1 <_ -11 or 4x - 3 > 9



Answer :

The number line which shows the solution to the inequality is option C

Number lines which shows the solution to the inequality

3x + 2 ≤ -11

or

4x - 3 > 9

3x + 2 ≤ -11

  • substract 2 from both sides

3x ≤ -11 - 2

3x ≤ -13

  • divide both sides by 3

x ≤ -13/3

x ≤ -4.33

or

4x - 3 > 9

  • Add 3 to both sides

4x > 9 + 3

4x > 12

  • divide both sides by 4

x > 12 / 4

x > 3

Ultimately, the answer to the inequalities is x ≤ -4.33 and x > 3

Therefore, the number line which shows the solution to the inequality is option C

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