Notes



Problems
Solve. Express as an inequality.
\(\textbf{1)}\) \( -5x\le20 \)
The answer is \( x\ge-4\), see video for graph
\(\textbf{2)}\) \( 5x-4\gt2x-10 \)
The answer is \( x\gt-2\), see video for graph
\(\textbf{3)}\) \( 18-4x\lt2 \)
The answer is \( x\gt4\), see video for graph
\(\textbf{4)}\)\( 5- 2x\lt 11 \)
The answer is \( x\gt-3\), see video for graph
\(\textbf{5)}\) \( 2-5x\ge6(x-5)+1 \)
The answer is \( x\le \frac{31}{11}\), see video for graph
\(\textbf{6)}\) \( \frac{x}{5}+2\le-10 \)
The answer is \( x\le-60\), see video for graph
\(\textbf{7)}\) \(5x-4\le2x+2. \)
The answer is \(x\le2 \)
\(\textbf{8)}\) \(4-x\le8. \)
The answer is \(x\ge-4 \)
\(\textbf{9)}\) \(5x+1\gt 11. \)
The answer is \(x\gt 2 \)
\(\textbf{10)}\) \(x\le2x-2 \)
The answer is \(x\ge2 \)
\(\textbf{11)}\) Express as an inequality. The sum of a number and 4 is at least 10.
The answer is \( x+4\ge10\), see video for graph
\(\textbf{12)}\) Express as an inequality. The product of a number and 4 is less than 10.
The answer is \( 4x\lt10\), see video for graph
\(\textbf{13)}\) Express as an inequality. Half of x is at most 7.
The answer is \( \frac{x}{2}\le7\)
\(\textbf{14)}\) Express as an inequality. The sum of x and 3 is greater than the sum of 3x and 2.
The answer is \( x+3\gt3x+2\)
\(\textbf{15)}\) Express as an inequality. The product of x and 3 is less than the sum of x and 3.
The answer is \( 3x\lt x+3\)
See Related Pages\(\)