1.B
2.e
3.8+10(x+3)+x
8+10x+30+x
11x=-30-8
x=38+11x
Answer:
• No
• Yes
• Yes
• No
Step-by-step explanation:
To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.
-2y +7≤ -5
Subtract 7 on both sides:
-2y≤ -5 -7
-2y≤ -12
Divide by -2 on both sides:
y≥ 6
This means that the solution can be 6 or greater than 6.
-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.
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Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.
Here's an example to check if -10 is a solution.
-2y +7≤ -5
When y= -10,
-2y +7
= -2(-10) +7
= 20 +7
= 27
Since 27 is greater than 5, it is <u>not</u> a solution to the inequality.
Answer: x - 30 = 10
Step-by-step explanation:
x - 30 = 10
x = 30 + 10
x= 40
So this inequality is going to be written as 9(x + 6) > 99
Firstly, you want to foil 9(x + 6), which will look like this: 9x + 54 > 99
Next, subtract 54 on both sides of the equation: 9x > 45
Lastly, divide both sides by 9, and your answer will be x > 5
