Question
Solve the inequality. \( 4<-5 x-6 \) i. The answer as an inequality is \[ x ? \hat{v} \text { (Enter oo for } \] ii. The answer in interval notation is \( \infty) \)
Ask by Phillips Cox. in the United States
Feb 27,2025
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Tutor-Verified Answer
Answer
\( x < -2 \)
\((- \infty, -2)\)
Solution
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The Deep Dive
To solve the inequality \( 4 < -5x - 6 \), first isolate \( x \). Start by adding 6 to both sides: \[ 4 + 6 < -5x \] This simplifies to: \[ 10 < -5x \] Next, divide both sides by -5. Remember to flip the inequality sign when dividing by a negative number: \[ \frac{10}{-5} > x \] So we have: \[ -2 > x \] or equivalently: \[ x < -2 \] i. The answer as an inequality is \[ x < -2 \] ii. The answer in interval notation is \( (-\infty, -2) \)