Question

hw2.4 linearinequalities: problem 1 (1 point) solve the following inequality. enter the answer in interval notation. 1 - x < -1 answer: 2_inity note: if the answer includes more than one interval, write the intervals separated by the \union\ symbol u. if needed, enter ∞ as infinity and -∞ as -infinity. preview my answers submit answers you have attempted this problem 10 times. your overall recorded score is 0%. you have unlimited attempts remaining.

Explanation:

Step1: Isolate the variable term

Subtract 1 from both sides of the inequality $1 - x < - 1$. We get $1 - x-1 < - 1 - 1$, which simplifies to $-x < - 2$.

Step2: Solve for x

Multiply both sides of $-x < - 2$ by - 1. Remember that when we multiply or divide an inequality by a negative number, the direction of the inequality sign changes. So we have $x>2$.

Answer:

$(2,\infty)$