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Solve each inequality or compound inequality. Write the solution set in interval notation and graph it.$$0.04 x+1.04 \leq 0.01 x+1.085$$
$$(-\infty, 1.5]$$
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 7
Solving Inequalities
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
McMaster University
Harvey Mudd College
Baylor University
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solve the inequality. 0.4 x plus 1.4 is less than or equal to 0.1 x plus 1.85 To solve the inequality, let's start by bringing the variable term to the left side of the inequality. To do this, subtract 0.1 x from both sides. On the left, we now have 0.3 X plus 1.4 is less than or equal to 1.85 We need to isolate the variable, so the next step would be to undo the addition of 1.4 by subtracting 1.4 from both sides of the inequality. This leaves us with 0.3 X is less than or equal to 0.45 The last step to isolating the variable is to undo the product by using the inverse operation in divide. Both sides by 0.3 on the left were left with the variable X is less than or equal to 0.45 Divided by 0.3 is 1.5 in interval notation. We can represent this by open opening our interval at negative infinity with a parentheses E and closing the interval at 1.5 using a bracket. Remember, the bracket indicates that 1.5 is part of the solution set because X can also be equal to it on a number line. We will use a closed circle at 1.5 and include all values less than or equal to one point vibes. We're going to shade on the number line, all values to the left of 1.5.
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