WebNov 16, 2024 · As with the linear inequalities, we are looking for all the values of the variable that will make the inequality true. This means that our solution will almost certainly involve inequalities as well. The process … WebFor x ∈ ( − 3, 2) both terms in the denominator are positive; so the whole fraction is also positive (arguing as above). For x < − 3 the denominator is negative (the first term in the denominator is postive; the second is negative). The fraction is therefore negative. For x = 2 the question doesn't make sense; similarly for x = − 3.

Solve Linear Inequalities with Fractions - Online Math Learning

WebNov 3, 2024 · We need to perform the opposite operation. So, we subtract the 1.5 from both sides of the inequality. We remember that when solving for a variable, whatever we do to one side of the... WebFeb 20, 2011 · When you are solving algebraic equations with inequalities, you treat them almost like equations. You may add or subtract on both sides without any difference. When you multiply or … can hepatitis b be treated with antibiotics

How to Solve Inequalities With Fractions Sciencing

WebLinear Inequalities in One Variable with Fractions - Examples Example 1 : Solve the following linear inequality : Solution : (6x - 9 - 16x) / 12 ≥ - 6 (-10 x - 9) / 12 ≥ - 6 Multiply each side by 12. [ (-10 x - 9)/12] x 12 ≥ -6 x 12 -10x - 9 ≥ -72 Add 9 on both sides -10 x - 9 + 9 ≥ -72 + 9 -10x ≥ -63 Divide by -10 on both sides WebWhen solving two step inequalities we will use inverse operations, reverse order of operations and the properties of equality to solve. We will then graph our solution on a … Web2 Answers Sorted by: 2 1. Find out where you have equality. This involves simplifying to a quadratic equation. In your case you will I think end up with x 2 − 7 x + 10 = 0, which has the roots x = 2 and x = 5. 2. Find the singularities, where your expression is not defined. These are x = 1 and x = 5 / 3. 3. fit for a prince full cast