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
Answer:
No entiendo
Step-by-step explanation:
The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).
<h3>What is the x-intercept of the line?</h3>
Given the function;
X-intercept occurs on the graph when y=0. Hence, to determine x-intercept, we substitute in 0 for y and solve for x.
3x - 5y = 7
3x - 5(0) = 7
3x - 0 = 7
3x = 7
x = 7/3
Hence, we have a point ( 7/3, 0 ).
The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).
Learn more about x and y-intercepts here: brainly.com/question/12791065
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The required equation is <u>135 + 9x > 250</u>.
The number of lawns Ed must mow is assumed to be x.
The amount Ed charges for each lawn he mows is $9.
Thus, the total amount Ed earns by mowing x lawns = $9x.
The savings which Ed has is $135.
Thus, the total amount Ed will have to spend can be written as the expression, $(135 + 9x).
The cost of the video game is given to be $250.
We are asked to write an equation, that can be used to find the number of lawns Ed mow, that is x so that the amount Ed has will be more than the amount he needs to buy the video game.
This can be shown as the equation:
Total amount Ed has > Cost of the video game,
or, 135 + 9x > 250.
Thus, the required equation is <u>135 + 9x > 250</u>.
Learn more about writing equations at
brainly.com/question/25235995
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