Write the solution set using interval notation.
-4 x-3.2

Question

Write the solution set using interval notation.
-4 x-3.2<6 x+5
A) $( - 4.1 , \infty )$
B) $[ - 4.1 , \infty )$
C) $( - \infty , - 4.1 )$
D) $( - \infty , - 4.1 ]$

Quizplus · Accepted Answer

To solve the inequality $4x - 3.2 < 6x + 5$, subtract $6x$ from both sides to get $-2x - 3.2 < 5$. Then, subtract $5$ from both sides to get $-2x - 8.2 < 0$. Divide both sides by $-2$ (remember to flip the inequality sign when dividing by a negative number) to get $x > -4.1$. This corresponds to the interval $(-4.1, \infty)$.

Write the Solution Set Using Interval Notation (−4.1,∞)( - 4.1 , \infty )(−4.1,∞)

Write the Solution Set Using Interval Notation $( - 4.1 , \infty )$