Solve the inequality and graph the solution on the line provided.
2, x, plus, 16, is less than, 2
2x+16<
2
The inequality 2x + 16 < 2 can be solved as follows:
2x + 16 < 2
Subtract 16 from both sides:
2x < -14
Divide both sides by 2:
x < -7
The solution to the inequality is x < -7.
To graph the solution on the line provided, draw a number line with the point -7 labeled and a small open circle on that point to indicate that -7 is not included in the solution. Shade the line to the left of -7 to represent all the values that satisfy the inequality.
To solve the inequality 2x + 16 < 2, we follow these steps:
Step 1: Subtract 16 from both sides of the inequality.
2x + 16 - 16 < 2 - 16
2x < -14
Step 2: Divide both sides of the inequality by 2.
(2/2)x < -14/2
x < -7
The solution to the inequality is x < -7.
To graph the solution on a number line, we start at -7 and draw an open circle at that point. Then, draw an arrow to the left to indicate all the values of x that are less than -7.
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To solve the inequality 2x + 16 < 2, we need to isolate the variable x on one side of the inequality sign.
Step 1: Subtract 16 from both sides of the inequality:
2x + 16 - 16 < 2 - 16
2x < -14
Step 2: Divide both sides by 2 to isolate x:
(2x) / 2 < (-14) / 2
x < -7
Now let's graph the solution on the number line.
Imagine a number line with 0 at the center. To the left of 0, we have negative numbers, and to the right, we have positive numbers.
Since x < -7, we need to represent all numbers less than -7 on the number line. We can draw an open circle at -7 and draw an arrow pointing to the left to indicate all the numbers less than -7.
So, the solution to the inequality 2x + 16 < 2 is x < -7, and it can be represented on the number line with an open circle at -7 and an arrow pointing to the left.