Help? Solve 2x - 8 < 7

2 answers:

3 0

2x - 8 < 7
Add 8 to both sides
2x<15
Divide 2 on both sides
Final Answer: x<15/2 or 7 1/2 *Both answers are equivalent to each other.

Julli [10]3 years ago

3 0

One solution was found : x < 15/2

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

 2*x-8-(7)<0

Divide both sides by 2 

 x-(15/2) < 0

Solve Basic Inequality : 1.2 Add 15/2 to both sides

Inequality plot for

2.000 x - 15.000 < 0 x < 15/2
One solution was found : x < 15/2

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Step-by-step explanation:

Hi there!

We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14

We need to find the lengths of m and n

Firstly, let's find the measure of the other acute angle

The acute angles in a right triangle are complementary, meaning they add up to 90 degrees

Let's make the measure of the unknown acute angle x

So x+60°=90°

Subtract 60 from both sides

x=30°

So the measure of the other acute angle is 30 degrees

This makes the right triangle a special kind of right triangle, a 30°-60°-90° triangle

In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is $\frac{a}{2}$ , and the leg opposite from the 60 degree angle is $\frac{a\sqrt3}{2}$