Display the interval notation and set builder notation for -4x<0

Since our variable of x has a coefficient of -4, we first divide each side of the inequality by -4

Since -4 is less than zero, inequalities state we need to reverse our sign from < to >

-4x | |

-4 |

> |

0 |

-4 |

x>0 ←This is the modified expression we use going forward

You entered the greater than sign in the expression x>0

We start with the left side of the interval notation

Since you did not enter an equal sign, this translates to ( since we will not be including the number 0

Based on the > you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞