The two consecutive integers are 2 and 3
<em><u>Solution:</u></em>
Let x and x + 1 are the two consecutive integers
Let "x" be the smallest integer
Let "x + 1" be the larger integer
<em><u>Given that, sum of 2 consecutive integers is one less than 3 times the smaller integer</u></em>
Therefore,
sum of 2 consecutive integers = one less than 3 times the smaller integer
sum of 2 consecutive integers = 3 times the smaller integer - 1
x + x + 1 = 3(x) - 1
2x + 1 = 3x - 1
3x - 2x = 1 + 1
x = 2
Thus the smaller integer = x = 2
Larger integer = x + 1 = 2 + 1 = 3
Thus the two consecutive integers are 2 and 3
Answer:
multiply, 12 inches per foot
Step-by-step explanation:
1. The 2nd number line represents the inequality.
Explanation:
In words, the inequality reads "negative six is less than x, which is less than or equal to two". On the number line, the open circle at negative six means that -6 is not a solution to the inequality: -6 < x. The point at positive two means that positive two is a solution to the inequality: x ≤ 2. Therefore, all numbers greater than -6 and less than or equal to +2 are solutions to the inequality. This is shown on the second number line.
2. False
Explanation:
In words, the inequality reads "x is less than negative five". This means that all numbers less than -5 are solutions to the inequality. Positive four is not less than negative five, so it is not a solution to the inequality.
3. x > 2
Explanation:
To solve the inequality, we have to move all the terms that do not contain x to one side. This inequality is simple because it only requires one step: subtraction.
Solve for x: x + 3 > 5
1. Subtract 3 from both sides to get x by itself:
x + 3 - 3 > 5 - 3
2. Simplify
x > 2
HI and EG are parallel to each other.
It's easiest to draw the triangle out, and look at it visually, instead of trying to figure it out mentally.
Hope this helps!
