Please help me with inequalities?\
2x-1>-3 and 4x plus 5>-19
I tried doing this problem, but I am lost.
solve each one separately if you want
2x-1 ≥ -3
2x ≥ -2
x ≥ -1
4x+5 ≥ -19
4x ≥ -24
x ≥ -6
but they are connect with AND, so ...
x ≥ -1 AND x ≥ -6
Now thing about, what numbers are both greater than or equal to -1 AND -6
Place the two values on a number line , use solid points and lines to show which numbers satisfy.
Wouln't it just be all numbers such that x ≥ -1
(notice the lines overlap from -1 to infinity)
I was solving for the interval notation, which I got the interval notation symbol and -1
Sure! I can help you with solving these inequalities step by step.
Let's start with the first inequality: 2x - 1 > -3.
To solve this inequality, we'll follow a few steps:
Step 1: Add 1 to both sides of the inequality to isolate the term with x:
2x - 1 + 1 > -3 + 1 simplifies to 2x > -2.
Step 2: Divide both sides of the inequality by 2 to solve for x:
(2x)/2 > (-2)/2 simplifies to x > -1.
So, the solution to the first inequality is x > -1.
Now let's move on to the second inequality: 4x + 5 > -19.
Again, we'll follow the same steps to solve this inequality:
Step 1: Subtract 5 from both sides of the inequality to isolate the term with x:
4x + 5 - 5 > -19 - 5 simplifies to 4x > -24.
Step 2: Divide both sides of the inequality by 4 to solve for x:
(4x)/4 > (-24)/4 simplifies to x > -6.
Therefore, the solution to the second inequality is x > -6.
In summary, the solutions to the given inequalities are x > -1 and x > -6 respectively.