3 years ago

Solve the following inequality algebraically. x + 2 < 11

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

7 0

Answer:

x < 9

Step-by-step explanation:

Subtract 2 from both sides so you can isolate the variable on the left.

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A line passes through (10,4) and (13,-11). Write the equation of the line in standard form.

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$\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{-11}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-11-4}{13-10}\implies \cfrac{-15}{3}\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-5(x-10)$

now

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• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

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