Question

hw2.4 linearinequalities: problem 5 (1 point) solve the following inequality. enter the answer in interval notation. -4 - x < 2 answer: note: if the answer includes more than one interval, write the intervals separated by the union symbol u. if needed, enter oo as infinity and -oo as -infinity. preview my answers submit answers you have attempted this problem 0 times. you have unlimited attempts remaining.

Explanation:

Step1: Isolate the variable term

Add 4 to both sides of the inequality $-4 - x<2$. We get $-4 - x+ 4<2 + 4$, which simplifies to $-x<6$.

Step2: Solve for x

Multiply both sides of $-x<6$ by -1. When multiplying an inequality by a negative number, the direction of the inequality sign changes. So we have $x>-6$.

Answer:

$(-6,\infty)$