The inequality given is "-1<=x<4". This is a range of numbers from -1 to 4 that x could potentially take on.
The first step to understand this inequality is to see it as two separate statements. The first statement is "-1<=x", which means that x is greater than or equal to -1. The second statement is "x<4", which means that x is less than 4.
Now let's combine these two statements back together to form our original inequality "-1<=x<4". This combined statement tells us that x can be any number greater than or equal to -1 but less than 4.
In interval notation, we express ranges, or intervals, of numbers on the number line. When an endpoint is included in the interval, we use a square bracket [ or ]. When an endpoint is not included, we use a parenthesis ( or ).
Looking back at our inequality, we see that -1 is included in the range (since it is "less than or equal to"), but 4 is not included (since it is "less than" and not "less than or equal to").
So, in interval notation, the inequality "-1<=x<4" is represented as [-1, 4). This notation tells us that the interval includes -1 (since it has a square bracket next to it) and goes up to but does not include 4 (since it has a parentheses next to it).