Find the solution −12g+18>−5g+53
(1 point)
Responses
g>−5
g is greater than negative 5
g<−5
g<−5
g<71−17
g<71−17
g>71−17
g>71-17
Graph x≤−3
(1 point)
Responses
Unfortunately, I am unable to generate a graph in this text-based format. However, I can describe how to graph the inequality x ≤ -3 on a number line.
To graph x ≤ -3, you would start by drawing a number line.
Then, you would mark a point on the number line at -3, which represents the boundary of the inequality. You can label this point with an open circle to indicate that it is not included in the solution.
Lastly, you would shade the region to the left of -3 since x can take on any value less than or equal to -3. This shading represents the values that satisfy the inequality.
I hope this helps! Let me know if you have any further questions.
Solve the equation 32(4−8x)+5x=1−8x
Let's solve the equation step by step:
32(4 - 8x) + 5x = 1 - 8x
First, distribute 32 into the parentheses:
128 - 256x + 5x = 1 - 8x
Combine like terms:
-256x + 5x + 8x = 1 - 128
-243x = -127
Now, divide both sides by -243 to solve for x:
x = -127 / -243
Simplifying the fraction:
x = 127 / 243
Therefore, the solution to the equation is x = 127/243.
Solve the equation 3/2(4−8x)+5x=1−8x
Let's solve the equation step by step:
(3/2)(4 - 8x) + 5x = 1 - 8x
First, distribute (3/2) into the parentheses:
6 - 12x + 5x = 1 - 8x
Combine like terms:
6 - 7x = 1 - 8x
Now, let's isolate the x term. Add 8x to both sides and subtract 1 from both sides:
-7x + 8x = 1 - 6
x = -5
Therefore, the solution to the equation is x = -5.
Solve the inequality 25m−7≤17
Let's solve the inequality step by step:
25m - 7 ≤ 17
First, let's add 7 to both sides of the inequality:
25m - 7 + 7 ≤ 17 + 7
This simplifies to:
25m ≤ 24
Now, let's divide both sides of the inequality by 25 to isolate the variable m:
(25m)/25 ≤ 24/25
This simplifies to:
m ≤ 24/25
Therefore, the solution to the inequality is m ≤ 24/25.