To solve this inequality, we need to isolate the variable "X" on one side of the inequality sign.
Let's start solving the inequality step-by-step:
1. Subtract 1 2/3 from both sides:
X + 1 2/3 - 1 2/3 > 4 - 1 2/3
Simplifying the left side:
X > 4 - 5/3
2. Convert 4 to thirds by finding the common denominator:
X > (4 * 3/3) - 5/3
Simplifying the right side:
X > 12/3 - 5/3
3. Subtract the fractions:
X > 7/3
Therefore, X is greater than 7/3.
X + 1 2/3 > 4
9 answers
7/3 as a whole number
To express 7/3 as a whole number, we need to perform a division.
7 divided by 3 equals 2 with a remainder of 1.
Therefore, 7/3 can be expressed as the whole number 2.
7 divided by 3 equals 2 with a remainder of 1.
Therefore, 7/3 can be expressed as the whole number 2.
Express the equation on a number line
To express the equation X > 7/3 on a number line, we represent all real numbers greater than the value 7/3, which is equivalent to 2 and 1/3 or approximately 2.33.
Using a number line:
<---------------------------[---------]---------------------->
0 2
We place an open circle or parentheses on the value 2.33 to indicate that it is not included in the solution set. Then we draw an arrow to the right to represent all numbers greater than 2.33.
Therefore, the solution set for the inequality X > 7/3 is represented by the number line to the right of 2.33.
Using a number line:
<---------------------------[---------]---------------------->
0 2
We place an open circle or parentheses on the value 2.33 to indicate that it is not included in the solution set. Then we draw an arrow to the right to represent all numbers greater than 2.33.
Therefore, the solution set for the inequality X > 7/3 is represented by the number line to the right of 2.33.
X + 0.5 >_ 0.5
To solve the inequality X + 0.5 ≥ 0.5, we can follow these steps:
1. Subtract 0.5 from both sides:
X + 0.5 - 0.5 ≥ 0.5 - 0.5
Simplifying the left side:
X ≥ 0
2. The inequality X ≥ 0 represents all numbers greater than or equal to zero.
To express this on a number line:
<-------------------[===============>
-∞ 0
We put a closed circle or a square bracket on the value 0 since it is included in the solution set. Then we draw a line to the right to indicate that all numbers greater than or equal to zero are part of the solution set.
Therefore, the solution set for the inequality X + 0.5 ≥ 0.5 is represented by the line starting from 0 and extending towards positive infinity.
1. Subtract 0.5 from both sides:
X + 0.5 - 0.5 ≥ 0.5 - 0.5
Simplifying the left side:
X ≥ 0
2. The inequality X ≥ 0 represents all numbers greater than or equal to zero.
To express this on a number line:
<-------------------[===============>
-∞ 0
We put a closed circle or a square bracket on the value 0 since it is included in the solution set. Then we draw a line to the right to indicate that all numbers greater than or equal to zero are part of the solution set.
Therefore, the solution set for the inequality X + 0.5 ≥ 0.5 is represented by the line starting from 0 and extending towards positive infinity.
X + 5 >_ 6
To solve the inequality X + 5 ≥ 6, we can follow these steps:
1. Subtract 5 from both sides:
X + 5 - 5 ≥ 6 - 5
Simplifying the left side:
X ≥ 1
2. The inequality X ≥ 1 represents all numbers greater than or equal to 1.
To express this on a number line:
<-------------------[================>
-∞ 1
We put a closed circle or a square bracket on the value 1 since it is included in the solution set. Then we draw a line to the right to indicate that all numbers greater than or equal to 1 are part of the solution set.
Therefore, the solution set for the inequality X + 5 ≥ 6 is represented by the line starting from 1 and extending towards positive infinity.
1. Subtract 5 from both sides:
X + 5 - 5 ≥ 6 - 5
Simplifying the left side:
X ≥ 1
2. The inequality X ≥ 1 represents all numbers greater than or equal to 1.
To express this on a number line:
<-------------------[================>
-∞ 1
We put a closed circle or a square bracket on the value 1 since it is included in the solution set. Then we draw a line to the right to indicate that all numbers greater than or equal to 1 are part of the solution set.
Therefore, the solution set for the inequality X + 5 ≥ 6 is represented by the line starting from 1 and extending towards positive infinity.