Which graph represents the solutions to the inequality |2x - 6| < 4?
number line with a closed circle on 1, shading to the left and a closed circle on 5, shading to the right
number line with a closed circle on 1, shading to the right and a closed circle on 5, shading to the left
number line with an open circle on 1, shading to the left and an open circle on 5, shading to the right
number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left
Stacey Warren - Expert brainly.com
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the vertical lines around 2x-6 means the absolute value of 2x - 6, whether the expression is negative or positive
this gives us 2 inequalities:-
2x - 6 < 4 and 2x - 6 > -4
can you solve these?
First of all, we can eliminate two choices because the inequality is simply a "less than" sign. This means we don't include the very last number, which means an open circle is needed. I suggest temporarily changing the sign to an equal sign to solve for the highest and lowest x values since the answer is everything in between them (and not the end points as just discussed).