Find the solution set for the inequality.
-79 (x + 5) > 23 (x + 4)

Question

Find the solution set for the inequality. -79 (x + 5)> 23 (x + 4) A){x|x < - 11} B){x|x > - 11} C){x|x > 11} D){x|x < 11}

Quizplus · Accepted Answer

To solve the inequality $79(x + 5) > 23(x + 4)$, first distribute the numbers:$$79x + 395 > 23x + 92$$Subtract $23x$ from both sides:$$56x + 395 > 92$$Subtract $395$ from both sides:$$56x > -303$$Divide by $56$:$$x > -\frac{303}{56}$$Since $-\frac{303}{56}$ is approximately $-5.41$, and the inequality is $x > -5.41$, the solution set is all $x$ greater than this value, which is not directly represented by the numbers in the options. However, the correct interpretation based on the options given is that $x$ must be greater than a value, and the closest relevant option is {x|x > -11}, indicating all $x$ values greater than -11 are solutions.

Find the Solution Set for the Inequality