<h2>Linear Inequality</h2>
<em>In </em><em>mathematics a linear inequality</em><em> is an </em><em>inequality involving a linear function</em><em>. </em><em>A linear inequality contains one of the inequality symbols.< is less than > is greater than ≤ is less than or equal to ≥ is greater than or equal to ≠ is not equal to.</em>
<h3>x²− 9x < − 8</h3>
<em>Let's find the critical points of the inequality.</em>
<h3>x² − 9x = − 8</h3>
<em>x² − 9x −(−8) = − 8 −(−8)</em> (Subtract -8 from both sides)
<h3>x² − 9x + 8 = 0</h3>
<em>(x − 1)(x − 8) = 0</em> (Factor left side of equation)
<em>x − 1 = 0 or x − 8 = 0</em> (Set factors equal to 0)
<h3>x=1 or x=8</h3><h3>
Check intervals in between critical points. (Test values in the intervals to see if they work.)</h3>
<em>x < 1</em> (Doesn't work in original inequality)
<em>1 < x < 8</em> (Works in original inequality)
<em>x > 8</em> (Doesn't work in original inequality)
<h3>
Answer:</h3><h2>
1 < x < 8</h2>
<em>The third option is the correct one.</em>
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<h2>See more at:</h2><h3>
brainly.com/question/14338402</h3>
89/100 as a precent is is 89% because if you change 89/100 to a decimal you get .89 and then you multiply that by 100 (or just move the decimal over 2 places to the right) and you will get 89% make since? and its the same way if your going from % to decimal except you divide by 100( or move the decimal over 2 places to the left) so to a percent is right and to a decimal is left. easy right?
Answer:
40
Step-by-step explanation:
8×(40+7)=(8×__)+(8×7)
several ways to do this, but the most simplistic (but probably not the quickest) way to do it is to simplify both sides of the equation and solve for the missing number,
lets substitute n for the missing number, hence equation becomes:
8×(40+7)=(8×n)+(8×7) (by PEDMAS, evaluate terms inside parentheses first)
8 x (47) = (8n) + (56)
8 x 47 = 8n + 56 (next evaluate multiply)
376 = 8n + 56 (subtract 56 from both sides)
376 - 56 = 8n (evaluate subtration and rearrange)
8n = 320 (divide both sides by 8)
n = 320 / 8
n = 40
<em>The</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>X </em><em>is</em><em> </em><em>4</em>
<em>pl</em><em>ease</em><em> see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em>
<em>Hope</em><em> </em><em>it</em><em> helps</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>