Please help me in this problem
1 answer:
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Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
It is a straight line
Greetings!
"<span>What is the general process for solving an equation with one variable?"...
Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
Example:
</span>
<span>Add -4 to both sides to isolate the variable.
</span>
<span>
Simplify.
</span>
Divide both sides by 2 to isolate the variable on one side.
Hope this helps.
-Benjamin
"<span>What is the general process for solving an equation with one variable?"...
Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
Example:
</span>
<span>Add -4 to both sides to isolate the variable.
</span>
Simplify.
</span>
Divide both sides by 2 to isolate the variable on one side.
Hope this helps.
-Benjamin