Answer: 20/3
Solution:
-5^2/-15 + 5
Determine the sign
5^2/15 + 5
Calculate
25/15 + 5
Simplify
5/3 + 5
Transform the expression
5 + 15/3
Calculate
= 20/3
(But there’s alternative forms too!: 6.6, 6 2/3)
The interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
<h3>What is the inequality equation?</h3>
Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
The inequality given in the problem is,
Simplify the equation first by adding the same terms,
Now in this case, if the value x is ranges from -5/9 to infinity.
Thus, the interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
Learn more about the inequality equation here:
brainly.com/question/17724536
#SPJ1
Step-by-step explanation:
larger number = y
smaller number=x
y>2x+1
y<3x+6
Probably the first one, if I did this right.
To do this problem, you need to know how to read math, <em>literally</em>. The problem says that y is the larger number, so assume the smaller is x. So, y exceeds 2x by 1 (so, y>2x+1). then, it says 3x exceeds y by 6; therefore, 3x+6>y. I may have interpreted it wrong, though, so tell me if I made a mistake :))
Answer:
<u>first one</u>
6) 3x + 4 < - 62 x = - 23 ⇒ 3(-23) + 4 < - 62
<u> - 4 - 4 </u> -69 + 4 < - 62
3x < -66 - 65 < - 62
<u>÷ 3 ÷3</u>
x < -22
7) x/-5 + 1 <u><</u> 7 x = -30 ⇒ -30/-5 + 1 <u><</u> 7
<u> - 1 -1</u> 6 + 1 <u><</u> 7
x/-5 <u><</u> 6 7 <u><</u> 7
<u> × -5 × -5</u>
x <u><</u> -30
8) x/3 - 2 <u>></u> -12 x = -30 ⇒ -30/3 - 2 <u>></u> -12
x/3 <u>></u> -10 -10 - 2 <u>></u> -12
<u>* 3 *3</u> -12 <u>></u> -12
x <u></u><u>></u> -30
9) -2x - 6 > -18 x = 5 ⇒ -2(5) - 6 > -18
<u> +6 +6</u> -10 - 6 > -18
-2x > -12 -16 > -18
<u>÷ -2 ÷ -2</u>
x > 6 ⇒ x < 6
*flip the inequality sign because the divisor is a negative number: This is to make the inequality true.
